654396538752 has 768 divisors, whose sum is σ = 2237481792000. Its totient is φ = 181495480320.

The previous prime is 654396538699. The next prime is 654396538759. The reversal of 654396538752 is 257835693456.

It is a happy number.

654396538752 is a `hidden beast` number, since 6 + 5 + 4 + 3 + 96 + 538 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 654396538752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654396538759) 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, 1174858858 + ... + 1174859414.

It is an arithmetic number, because the mean of its divisors is an integer number (2913387750).

Almost surely, 2^654396538752 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 654396538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118740896000).

654396538752 is an abundant number, since it is smaller than the sum of its proper divisors (1583085253248).

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

654396538752 is a wasteful number, since it uses less digits than its factorization.

654396538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 764 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 654396538752 in words is "six hundred fifty-four billion, three hundred ninety-six million, five hundred thirty-eight thousand, seven hundred fifty-two".