9375014960640 has 1920 divisors, whose sum is σ = 40817595506688. Its totient is φ = 2016614154240.

The previous prime is 9375014960617. The next prime is 9375014960681. The reversal of 9375014960640 is 460694105739.

9375014960640 is a `hidden beast` number, since 9 + 3 + 7 + 501 + 4 + 96 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (54) 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 (54).

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, 4994679382 + ... + 4994681258.

Almost surely, 2^{9375014960640} is an apocalyptic number.

9375014960640 is a gapful number since it is divisible by the number (90) 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 9375014960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408797753344).

9375014960640 is an abundant number, since it is smaller than the sum of its proper divisors (31442580546048).

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

9375014960640 is a wasteful number, since it uses less digits than its factorization.

9375014960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9375014960640 in words is "nine trillion, three hundred seventy-five billion, fourteen million, nine hundred sixty thousand, six hundred forty".