70990970400 has 1152 divisors, whose sum is σ = 306880358400. Its totient is φ = 15502233600.

The previous prime is 70990970399. The next prime is 70990970419. The reversal of 70990970400 is 407909907.

70990970400 is a `hidden beast` number, since 70 + 9 + 90 + 97 + 0 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 396597511 + ... + 396597689.

It is an arithmetic number, because the mean of its divisors is an integer number (266389200).

Almost surely, 2^70990970400 is an apocalyptic number.

70990970400 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 70990970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153440179200).

70990970400 is an abundant number, since it is smaller than the sum of its proper divisors (235889388000).

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

70990970400 is a wasteful number, since it uses less digits than its factorization.

70990970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 70990970400 in words is "seventy billion, nine hundred ninety million, nine hundred seventy thousand, four hundred".