7918064640 has 528 divisors, whose sum is σ = 29674884096. Its totient is φ = 1946419200.

The previous prime is 7918064611. The next prime is 7918064657. The reversal of 7918064640 is 464608197.

7918064640 is a `hidden beast` number, since 7 + 9 + 180 + 6 + 464 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 32854920 + ... + 32855160.

It is an arithmetic number, because the mean of its divisors is an integer number (56202432).

Almost surely, 2^7918064640 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 7918064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837442048).

7918064640 is an abundant number, since it is smaller than the sum of its proper divisors (21756819456).

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

7918064640 is a wasteful number, since it uses less digits than its factorization.

7918064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7918064640 is about 88983.5076854133. The cubic root of 7918064640 is about 1993.1486093577.

The spelling of 7918064640 in words is "seven billion, nine hundred eighteen million, sixty-four thousand, six hundred forty".