70381958400 has 1728 divisors, whose sum is σ = 312967468800. Its totient is φ = 15288238080.

The previous prime is 70381958399. The next prime is 70381958429. The reversal of 70381958400 is 485918307.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 725587152 + ... + 725587248.

Almost surely, 2^70381958400 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 70381958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156483734400).

70381958400 is an abundant number, since it is smaller than the sum of its proper divisors (242585510400).

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

70381958400 is a wasteful number, since it uses less digits than its factorization.

70381958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 70381958400 in words is "seventy billion, three hundred eighty-one million, nine hundred fifty-eight thousand, four hundred".