7649956440 has 512 divisors, whose sum is σ = 30170880000. Its totient is φ = 1723244544.

The previous prime is 7649956411. The next prime is 7649956499. The reversal of 7649956440 is 446599467.

It is a happy number.

7649956440 is a `hidden beast` number, since 7 + 64 + 99 + 56 + 440 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39636984 + ... + 39637176.

It is an arithmetic number, because the mean of its divisors is an integer number (58927500).

Almost surely, 2^7649956440 is an apocalyptic number.

7649956440 is a gapful number since it is divisible by the number (70) 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 7649956440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085440000).

7649956440 is an abundant number, since it is smaller than the sum of its proper divisors (22520923560).

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

7649956440 is a wasteful number, since it uses less digits than its factorization.

7649956440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 7649956440 is about 87464.0294063794. The cubic root of 7649956440 is about 1970.3935963628.

The spelling of 7649956440 in words is "seven billion, six hundred forty-nine million, nine hundred fifty-six thousand, four hundred forty".