653274472356 has 384 divisors, whose sum is σ = 1987150233600. Its totient is φ = 183710592000.

The previous prime is 653274472271. The next prime is 653274472393.

653274472356 is a `hidden beast` number, since 6 + 53 + 2 + 74 + 472 + 3 + 56 = 666.

653274472356 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89083266 + ... + 89090598.

It is an arithmetic number, because the mean of its divisors is an integer number (5174870400).

Almost surely, 2^653274472356 is an apocalyptic number.

653274472356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653274472356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993575116800).

653274472356 is an abundant number, since it is smaller than the sum of its proper divisors (1333875761244).

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

653274472356 is a wasteful number, since it uses less digits than its factorization.

653274472356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 7480 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 653274472356 in words is "six hundred fifty-three billion, two hundred seventy-four million, four hundred seventy-two thousand, three hundred fifty-six".