7656025140 has 288 divisors, whose sum is σ = 25219434240. Its totient is φ = 1872998400.

The previous prime is 7656025109. The next prime is 7656025147. The reversal of 7656025140 is 415206567.

It is a happy number.

7656025140 is a `hidden beast` number, since 7 + 6 + 5 + 602 + 5 + 1 + 40 = 666.

It is a super-2 number, since 2×7656025140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7656025095 and 7656025104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7656025147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28460926 + ... + 28461194.

It is an arithmetic number, because the mean of its divisors is an integer number (87567480).

Almost surely, 2^7656025140 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 7656025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609717120).

7656025140 is an abundant number, since it is smaller than the sum of its proper divisors (17563409100).

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

7656025140 is a wasteful number, since it uses less digits than its factorization.

7656025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7656025140 is about 87498.7150762798. The cubic root of 7656025140 is about 1970.9144954942.

The spelling of 7656025140 in words is "seven billion, six hundred fifty-six million, twenty-five thousand, one hundred forty".