70564544400 has 240 divisors, whose sum is σ = 258514596864. Its totient is φ = 16117731840.

The previous prime is 70564544389. The next prime is 70564544419. The reversal of 70564544400 is 444546507.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20351467 + ... + 20354933.

Almost surely, 2^70564544400 is an apocalyptic number.

70564544400 is a gapful number since it is divisible by the number (70) 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 70564544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129257298432).

70564544400 is an abundant number, since it is smaller than the sum of its proper divisors (187950052464).

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

70564544400 is a wasteful number, since it uses less digits than its factorization.

70564544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 70564544400 in words is "seventy billion, five hundred sixty-four million, five hundred forty-four thousand, four hundred".