20367715680 has 576 divisors, whose sum is σ = 79054859520. Its totient is φ = 4921399296.

The previous prime is 20367715631. The next prime is 20367715699. The reversal of 20367715680 is 8651776302.

20367715680 is a `hidden beast` number, since 20 + 3 + 67 + 7 + 1 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 29820619 + ... + 29821301.

It is an arithmetic number, because the mean of its divisors is an integer number (137248020).

Almost surely, 2^20367715680 is an apocalyptic number.

20367715680 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 20367715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527429760).

20367715680 is an abundant number, since it is smaller than the sum of its proper divisors (58687143840).

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

20367715680 is a wasteful number, since it uses less digits than its factorization.

20367715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20367715680 in words is "twenty billion, three hundred sixty-seven million, seven hundred fifteen thousand, six hundred eighty".