3316257607464 has 288 divisors, whose sum is σ = 9823336585920. Its totient is φ = 1047434851584.

The previous prime is 3316257607433. The next prime is 3316257607493. The reversal of 3316257607464 is 4647067526133.

3316257607464 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 2 + 576 + 0 + 7 + 4 + 64 = 666.

It is a super-2 number, since 2×3316257607464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3316257607464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129160132 + ... + 129185804.

It is an arithmetic number, because the mean of its divisors is an integer number (34108807590).

Almost surely, 2^{3316257607464} 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 3316257607464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911668292960).

3316257607464 is an abundant number, since it is smaller than the sum of its proper divisors (6507078978456).

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

3316257607464 is a wasteful number, since it uses less digits than its factorization.

3316257607464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25833 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3316257607464 in words is "three trillion, three hundred sixteen billion, two hundred fifty-seven million, six hundred seven thousand, four hundred sixty-four".