7625906196480 has 4160 divisors, whose sum is σ = 35677712480256. Its totient is φ = 1528823808000.

The previous prime is 7625906196451. The next prime is 7625906196499. The reversal of 7625906196480 is 846916095267.

7625906196480 is a `hidden beast` number, since 7 + 6 + 2 + 5 + 9 + 0 + 61 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 125014855650 + ... + 125014855710.

Almost surely, 2^{7625906196480} 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 7625906196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838856240128).

7625906196480 is an abundant number, since it is smaller than the sum of its proper divisors (28051806283776).

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

7625906196480 is a wasteful number, since it uses less digits than its factorization.

7625906196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 7625906196480 in words is "seven trillion, six hundred twenty-five billion, nine hundred six million, one hundred ninety-six thousand, four hundred eighty".