653213777664 has 144 divisors (see below), whose sum is σ = 1995389690112. Its totient is φ = 185831153664.

The previous prime is 653213777647. The next prime is 653213777669. The reversal of 653213777664 is 466777312356.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653213777669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991867 + ... + 1513349.

It is an arithmetic number, because the mean of its divisors is an integer number (13856872848).

Almost surely, 2^653213777664 is an apocalyptic number.

653213777664 is a gapful number since it is divisible by the number (64) 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 653213777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997694845056).

653213777664 is an abundant number, since it is smaller than the sum of its proper divisors (1342175912448).

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

653213777664 is a wasteful number, since it uses less digits than its factorization.

653213777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521742 (or 521728 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 57.

The spelling of 653213777664 in words is "six hundred fifty-three billion, two hundred thirteen million, seven hundred seventy-seven thousand, six hundred sixty-four".