21734726400 has 162 divisors, whose sum is σ = 77706758220. Its totient is φ = 5795911680.

The previous prime is 21734726393. The next prime is 21734726407. The reversal of 21734726400 is 462743712.

21734726400 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 4 + 7 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21734726393) and next prime (21734726407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21734726407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131070 + ... + 246269.

Almost surely, 2^21734726400 is an apocalyptic number.

21734726400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21734726400 is an abundant number, since it is smaller than the sum of its proper divisors (55972031820).

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

21734726400 is a wasteful number, since it uses less digits than its factorization.

21734726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377371 (or 377349 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 21734726400 in words is "twenty-one billion, seven hundred thirty-four million, seven hundred twenty-six thousand, four hundred".