20379846564 has 405 divisors, whose sum is σ = 68789319291. Its totient is φ = 5242073760.

The previous prime is 20379846547. The next prime is 20379846569. The reversal of 20379846564 is 46564897302.

The square root of 20379846564 is 142758.

It is a perfect power (a square), and thus also a powerful number.

20379846564 is a `hidden beast` number, since 2 + 0 + 3 + 79 + 8 + 4 + 6 + 564 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20379846564.

It is not an unprimeable number, because it can be changed into a prime (20379846569) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 197862537 + ... + 197862639.

Almost surely, 2^20379846564 is an apocalyptic number.

20379846564 is the 142758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20379846564

20379846564 is an abundant number, since it is smaller than the sum of its proper divisors (48409472727).

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

20379846564 is a wasteful number, since it uses less digits than its factorization.

20379846564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20379846564 in words is "twenty billion, three hundred seventy-nine million, eight hundred forty-six thousand, five hundred sixty-four".