21962764320 has 288 divisors, whose sum is σ = 80777850048. Its totient is φ = 5001357312.

The previous prime is 21962764289. The next prime is 21962764357. The reversal of 21962764320 is 2346726912.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6889767 + ... + 6892953.

It is an arithmetic number, because the mean of its divisors is an integer number (280478646).

Almost surely, 2^21962764320 is an apocalyptic number.

21962764320 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 21962764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40388925024).

21962764320 is an abundant number, since it is smaller than the sum of its proper divisors (58815085728).

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

21962764320 is a wasteful number, since it uses less digits than its factorization.

21962764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 21962764320 in words is "twenty-one billion, nine hundred sixty-two million, seven hundred sixty-four thousand, three hundred twenty".