245670656400 has 480 divisors, whose sum is σ = 943863755520. Its totient is φ = 60331806720.

The previous prime is 245670656369. The next prime is 245670656417. The reversal of 245670656400 is 4656076542.

245670656400 is a `hidden beast` number, since 24 + 5 + 67 + 0 + 6 + 564 + 0 + 0 = 666.

245670656400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68373004 + ... + 68376596.

It is an arithmetic number, because the mean of its divisors is an integer number (1966382824).

Almost surely, 2^245670656400 is an apocalyptic number.

245670656400 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 245670656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471931877760).

245670656400 is an abundant number, since it is smaller than the sum of its proper divisors (698193099120).

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

245670656400 is a wasteful number, since it uses less digits than its factorization.

245670656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 245670656400 in words is "two hundred forty-five billion, six hundred seventy million, six hundred fifty-six thousand, four hundred".