20269597630464 has 672 divisors, whose sum is σ = 72388188512640. Its totient is φ = 5321878142976.

The previous prime is 20269597630433. The next prime is 20269597630481. The reversal of 20269597630464 is 46403679596202.

20269597630464 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 9 + 597 + 6 + 30 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1522992642 + ... + 1523005950.

It is an arithmetic number, because the mean of its divisors is an integer number (107720518620).

Almost surely, 2^{20269597630464} is an apocalyptic number.

20269597630464 is a gapful number since it is divisible by the number (24) 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 20269597630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36194094256320).

20269597630464 is an abundant number, since it is smaller than the sum of its proper divisors (52118590882176).

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

20269597630464 is a wasteful number, since it uses less digits than its factorization.

20269597630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13588 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 20269597630464 in words is "twenty trillion, two hundred sixty-nine billion, five hundred ninety-seven million, six hundred thirty thousand, four hundred sixty-four".