20464758720 has 672 divisors, whose sum is σ = 82988505600. Its totient is φ = 4532723712.

The previous prime is 20464758707. The next prime is 20464758733. The reversal of 20464758720 is 2785746402.

It is a happy number.

20464758720 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 47 + 587 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20464758707) and next prime (20464758733).

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147228411 + ... + 147228549.

It is an arithmetic number, because the mean of its divisors is an integer number (123494800).

Almost surely, 2^20464758720 is an apocalyptic number.

20464758720 is a gapful number since it is divisible by the number (20) 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 20464758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41494252800).

20464758720 is an abundant number, since it is smaller than the sum of its proper divisors (62523746880).

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

20464758720 is a wasteful number, since it uses less digits than its factorization.

20464758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20464758720 in words is "twenty billion, four hundred sixty-four million, seven hundred fifty-eight thousand, seven hundred twenty".