653415117264 has 480 divisors, whose sum is σ = 2293909013760. Its totient is φ = 169030582272.

The previous prime is 653415117259. The next prime is 653415117269. The reversal of 653415117264 is 462711514356.

It is a happy number.

653415117264 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 1 + 511 + 72 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (653415117259) and next prime (653415117269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653415117269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566708112 + ... + 566709264.

It is an arithmetic number, because the mean of its divisors is an integer number (4778977112).

Almost surely, 2^653415117264 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 653415117264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146954506880).

653415117264 is an abundant number, since it is smaller than the sum of its proper divisors (1640493896496).

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

653415117264 is a wasteful number, since it uses less digits than its factorization.

653415117264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1970 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 653415117264 in words is "six hundred fifty-three billion, four hundred fifteen million, one hundred seventeen thousand, two hundred sixty-four".