2453966599680 has 640 divisors, whose sum is σ = 9033790550400. Its totient is φ = 630669312000.

The previous prime is 2453966599631. The next prime is 2453966599717. The reversal of 2453966599680 is 869956693542.

2453966599680 is a `hidden beast` number, since 2 + 4 + 539 + 6 + 6 + 5 + 9 + 9 + 6 + 80 = 666.

2453966599680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×2453966599680³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2453966599599 and 2453966599608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886215030 + ... + 1886216330.

It is an arithmetic number, because the mean of its divisors is an integer number (14115297735).

Almost surely, 2^{2453966599680} is an apocalyptic number.

2453966599680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2453966599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516895275200).

2453966599680 is an abundant number, since it is smaller than the sum of its proper divisors (6579823950720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2453966599680 is a wasteful number, since it uses less digits than its factorization.

2453966599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 2453966599680 in words is "two trillion, four hundred fifty-three billion, nine hundred sixty-six million, five hundred ninety-nine thousand, six hundred eighty".