2477199396672 has 1008 divisors, whose sum is σ = 9760193823744. Its totient is φ = 590478336000.

The previous prime is 2477199396643. The next prime is 2477199396691. The reversal of 2477199396672 is 2766939917742.

It is a happy number.

2477199396672 is a `hidden beast` number, since 2 + 47 + 7 + 199 + 396 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2477199396672² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2477199396672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 730520097 + ... + 730523487.

It is an arithmetic number, because the mean of its divisors is an integer number (9682731968).

Almost surely, 2^{2477199396672} is an apocalyptic number.

2477199396672 is a gapful number since it is divisible by the number (22) 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 2477199396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880096911872).

2477199396672 is an abundant number, since it is smaller than the sum of its proper divisors (7282994427072).

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

2477199396672 is a wasteful number, since it uses less digits than its factorization.

2477199396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3608 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 2477199396672 in words is "two trillion, four hundred seventy-seven billion, one hundred ninety-nine million, three hundred ninety-six thousand, six hundred seventy-two".