7665243264 has 384 divisors, whose sum is σ = 27103440000. Its totient is φ = 2072770560.

The previous prime is 7665243221. The next prime is 7665243277. The reversal of 7665243264 is 4623425667.

7665243264 is a `hidden beast` number, since 7 + 66 + 524 + 3 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7507074 + ... + 7508094.

It is an arithmetic number, because the mean of its divisors is an integer number (70581875).

Almost surely, 2^7665243264 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 7665243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551720000).

7665243264 is an abundant number, since it is smaller than the sum of its proper divisors (19438196736).

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

7665243264 is a wasteful number, since it uses less digits than its factorization.

7665243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1052 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 7665243264 is about 87551.3749977692. The cubic root of 7665243264 is about 1971.7051950658.

The spelling of 7665243264 in words is "seven billion, six hundred sixty-five million, two hundred forty-three thousand, two hundred sixty-four".