934187400960 has 1152 divisors, whose sum is σ = 3560288256000. Its totient is φ = 206428569600.

The previous prime is 934187400959. The next prime is 934187401009. The reversal of 934187400960 is 69004781439.

It is a super-2 number, since 2×934187400960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1872118791 + ... + 1872119289.

It is an arithmetic number, because the mean of its divisors is an integer number (3090528000).

Almost surely, 2^934187400960 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 934187400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780144128000).

934187400960 is an abundant number, since it is smaller than the sum of its proper divisors (2626100855040).

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

934187400960 is a wasteful number, since it uses less digits than its factorization.

934187400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 934187400960 in words is "nine hundred thirty-four billion, one hundred eighty-seven million, four hundred thousand, nine hundred sixty".