7649961840 has 320 divisors, whose sum is σ = 26969702400. Its totient is φ = 1992646656.

The previous prime is 7649961797. The next prime is 7649961877. The reversal of 7649961840 is 481699467.

7649961840 is a `hidden beast` number, since 76 + 499 + 6 + 1 + 84 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21671104 + ... + 21671456.

It is an arithmetic number, because the mean of its divisors is an integer number (84280320).

Almost surely, 2^7649961840 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 7649961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484851200).

7649961840 is an abundant number, since it is smaller than the sum of its proper divisors (19319740560).

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

7649961840 is a wasteful number, since it uses less digits than its factorization.

7649961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7649961840 is about 87464.0602762072. The cubic root of 7649961840 is about 1970.3940599873.

The spelling of 7649961840 in words is "seven billion, six hundred forty-nine million, nine hundred sixty-one thousand, eight hundred forty".