21679347600 has 120 divisors (see below), whose sum is σ = 77162457120. Its totient is φ = 5781156480.

The previous prime is 21679347589. The next prime is 21679347607. The reversal of 21679347600 is 674397612.

21679347600 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 9 + 34 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21679347600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21679347607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992874 + ... + 1014473.

It is an arithmetic number, because the mean of its divisors is an integer number (643020476).

Almost surely, 2^21679347600 is an apocalyptic number.

21679347600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21679347600 is an abundant number, since it is smaller than the sum of its proper divisors (55483109520).

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

21679347600 is a wasteful number, since it uses less digits than its factorization.

21679347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007374 (or 2007357 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 21679347600 in words is "twenty-one billion, six hundred seventy-nine million, three hundred forty-seven thousand, six hundred".