70464038400 has 1800 divisors, whose sum is σ = 323712350280. Its totient is φ = 15049359360.

The previous prime is 70464038399. The next prime is 70464038417. The reversal of 70464038400 is 483046407.

70464038400 is a `hidden beast` number, since 7 + 0 + 4 + 640 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 965260764 + ... + 965260836.

Almost surely, 2^70464038400 is an apocalyptic number.

70464038400 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 70464038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161856175140).

70464038400 is an abundant number, since it is smaller than the sum of its proper divisors (253248311880).

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

70464038400 is a wasteful number, since it uses less digits than its factorization.

70464038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 70464038400 in words is "seventy billion, four hundred sixty-four million, thirty-eight thousand, four hundred".