21977673984 has 432 divisors, whose sum is σ = 77828325120. Its totient is φ = 5821562880.

The previous prime is 21977673979. The next prime is 21977674021. The reversal of 21977673984 is 48937677912.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19465932 + ... + 19467060.

It is an arithmetic number, because the mean of its divisors is an integer number (180158160).

Almost surely, 2^21977673984 is an apocalyptic number.

21977673984 is a gapful number since it is divisible by the number (24) 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 21977673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38914162560).

21977673984 is an abundant number, since it is smaller than the sum of its proper divisors (55850651136).

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

21977673984 is a wasteful number, since it uses less digits than its factorization.

21977673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 21977673984 in words is "twenty-one billion, nine hundred seventy-seven million, six hundred seventy-three thousand, nine hundred eighty-four".