70154294400 has 1344 divisors, whose sum is σ = 289272724200. Its totient is φ = 16721510400.

The previous prime is 70154294369. The next prime is 70154294443. The reversal of 70154294400 is 449245107.

It is a happy number.

70154294400 is a `hidden beast` number, since 70 + 1 + 542 + 9 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 825297984 + 69328996416 = 28728^2 + 263304^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1150070370 + ... + 1150070430.

Almost surely, 2^70154294400 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 70154294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144636362100).

70154294400 is an abundant number, since it is smaller than the sum of its proper divisors (219118429800).

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

70154294400 is a wasteful number, since it uses less digits than its factorization.

70154294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 70154294400 in words is "seventy billion, one hundred fifty-four million, two hundred ninety-four thousand, four hundred".