653127749664 has 192 divisors, whose sum is σ = 1991839538304. Its totient is φ = 185572048896.

The previous prime is 653127749641. The next prime is 653127749711. The reversal of 653127749664 is 466947721356.

It is a super-2 number, since 2×653127749664² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 653127749598 and 653127749607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834027 + ... + 1414869.

It is an arithmetic number, because the mean of its divisors is an integer number (10374164262).

Almost surely, 2^653127749664 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 653127749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995919769152).

653127749664 is an abundant number, since it is smaller than the sum of its proper divisors (1338711788640).

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

653127749664 is a wasteful number, since it uses less digits than its factorization.

653127749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580939 (or 580931 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 653127749664 in words is "six hundred fifty-three billion, one hundred twenty-seven million, seven hundred forty-nine thousand, six hundred sixty-four".