70800573704400 has 720 divisors, whose sum is σ = 253935636364800. Its totient is φ = 18258075648000.

The previous prime is 70800573704387. The next prime is 70800573704431. The reversal of 70800573704400 is 440737500807.

70800573704400 is a `hidden beast` number, since 7 + 0 + 8 + 0 + 0 + 573 + 70 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4865677125 + ... + 4865691675.

It is an arithmetic number, because the mean of its divisors is an integer number (352688383840).

Almost surely, 2^{70800573704400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70800573704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126967818182400).

70800573704400 is an abundant number, since it is smaller than the sum of its proper divisors (183135062660400).

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

70800573704400 is a wasteful number, since it uses less digits than its factorization.

70800573704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14964 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 70800573704400 in words is "seventy trillion, eight hundred billion, five hundred seventy-three million, seven hundred four thousand, four hundred".