7664855040 has 240 divisors, whose sum is σ = 27476188740. Its totient is φ = 2043740160.

The previous prime is 7664855027. The next prime is 7664855057. The reversal of 7664855040 is 405584667.

7664855040 is a `hidden beast` number, since 7 + 6 + 64 + 85 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7120659456 + 544195584 = 84384^2 + 23328^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 824820 + ... + 834060.

Almost surely, 2^7664855040 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 7664855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738094370).

7664855040 is an abundant number, since it is smaller than the sum of its proper divisors (19811333700).

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

7664855040 is an equidigital number, since it uses as much as digits as its factorization.

7664855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7664855040 is about 87549.1578486053. The cubic root of 7664855040 is about 1971.6719073116.

The spelling of 7664855040 in words is "seven billion, six hundred sixty-four million, eight hundred fifty-five thousand, forty".