653976679356 has 864 divisors, whose sum is σ = 2378233690560. Its totient is φ = 148751769600.

The previous prime is 653976679331. The next prime is 653976679373.

653976679356 is a `hidden beast` number, since 65 + 3 + 97 + 66 + 79 + 356 = 666.

653976679356 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 382665430 + ... + 382667138.

It is an arithmetic number, because the mean of its divisors is an integer number (2752585290).

Almost surely, 2^653976679356 is an apocalyptic number.

653976679356 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 653976679356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189116845280).

653976679356 is an abundant number, since it is smaller than the sum of its proper divisors (1724257011204).

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

653976679356 is a wasteful number, since it uses less digits than its factorization.

653976679356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1823 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 72.

The spelling of 653976679356 in words is "six hundred fifty-three billion, nine hundred seventy-six million, six hundred seventy-nine thousand, three hundred fifty-six".