7625902680 has 256 divisors, whose sum is σ = 28124236800. Its totient is φ = 1822464000.

The previous prime is 7625902673. The next prime is 7625902693. The reversal of 7625902680 is 862095267.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838960 + ... + 848000.

It is an arithmetic number, because the mean of its divisors is an integer number (109860300).

Almost surely, 2^7625902680 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 7625902680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062118400).

7625902680 is an abundant number, since it is smaller than the sum of its proper divisors (20498334120).

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

7625902680 is a wasteful number, since it uses less digits than its factorization.

7625902680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7625902680 is about 87326.4145605441. The cubic root of 7625902680 is about 1968.3262583722.

The spelling of 7625902680 in words is "seven billion, six hundred twenty-five million, nine hundred two thousand, six hundred eighty".