20364674217600 has 768 divisors, whose sum is σ = 72906500113920. Its totient is φ = 4976624271360.

The previous prime is 20364674217571. The next prime is 20364674217623. The reversal of 20364674217600 is 671247646302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20364674217600.

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, 1511062062 + ... + 1511075538.

It is an arithmetic number, because the mean of its divisors is an integer number (94930338690).

Almost surely, 2^{20364674217600} is an apocalyptic number.

20364674217600 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 20364674217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36453250056960).

20364674217600 is an abundant number, since it is smaller than the sum of its proper divisors (52541825896320).

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

20364674217600 is a wasteful number, since it uses less digits than its factorization.

20364674217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 20364674217600 in words is "twenty trillion, three hundred sixty-four billion, six hundred seventy-four million, two hundred seventeen thousand, six hundred".