900625374720 has 160 divisors (see below), whose sum is σ = 3199096628640. Its totient is φ = 240166748160.

The previous prime is 900625374659. The next prime is 900625374763. The reversal of 900625374720 is 27473526009.

900625374720 is a `hidden beast` number, since 90 + 0 + 6 + 2 + 537 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×900625374720² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6445821 + ... + 6584060.

It is an arithmetic number, because the mean of its divisors is an integer number (19994353929).

Almost surely, 2^900625374720 is an apocalyptic number.

900625374720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

900625374720 is an abundant number, since it is smaller than the sum of its proper divisors (2298471253920).

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

900625374720 is a wasteful number, since it uses less digits than its factorization.

900625374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029913 (or 13029891 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 900625374720 in words is "nine hundred billion, six hundred twenty-five million, three hundred seventy-four thousand, seven hundred twenty".