21964815149760 has 672 divisors, whose sum is σ = 87422843289600. Its totient is φ = 4957862215680.

The previous prime is 21964815149737. The next prime is 21964815149807. The reversal of 21964815149760 is 6794151846912.

21964815149760 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 4 + 81 + 5 + 1 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×21964815149760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1505360065 + ... + 1505374655.

It is an arithmetic number, because the mean of its divisors is an integer number (130093516800).

Almost surely, 2^{21964815149760} is an apocalyptic number.

21964815149760 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 21964815149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711421644800).

21964815149760 is an abundant number, since it is smaller than the sum of its proper divisors (65458028139840).

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

21964815149760 is a wasteful number, since it uses less digits than its factorization.

21964815149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15549 (or 15536 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

It can be divided in two parts, 21964815 and 149760, that added together give a triangular number (22114575 = T₆₆₅₀).

The spelling of 21964815149760 in words is "twenty-one trillion, nine hundred sixty-four billion, eight hundred fifteen million, one hundred forty-nine thousand, seven hundred sixty".