70088450400 has 432 divisors, whose sum is σ = 254513553840. Its totient is φ = 18138316800.

The previous prime is 70088450387. The next prime is 70088450401. The reversal of 70088450400 is 405488007.

70088450400 is a `hidden beast` number, since 70 + 0 + 8 + 84 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70088450401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68781091 + ... + 68782109.

It is an arithmetic number, because the mean of its divisors is an integer number (589151745).

Almost surely, 2^70088450400 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 70088450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127256776920).

70088450400 is an abundant number, since it is smaller than the sum of its proper divisors (184425103440).

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

70088450400 is a wasteful number, since it uses less digits than its factorization.

70088450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 70088450400 in words is "seventy billion, eighty-eight million, four hundred fifty thousand, four hundred".