21867762248640 has 4480 divisors, whose sum is σ = 106155523178496. Its totient is φ = 4173061939200.

The previous prime is 21867762248627. The next prime is 21867762248687. The reversal of 21867762248640 is 4684226776812.

It is a happy number.

21867762248640 is a `hidden beast` number, since 2 + 1 + 8 + 67 + 76 + 22 + 486 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 172187104257 + ... + 172187104383.

Almost surely, 2^{21867762248640} is an apocalyptic number.

21867762248640 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 21867762248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53077761589248).

21867762248640 is an abundant number, since it is smaller than the sum of its proper divisors (84287760929856).

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

21867762248640 is a wasteful number, since it uses less digits than its factorization.

21867762248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 21867762248640 in words is "twenty-one trillion, eight hundred sixty-seven billion, seven hundred sixty-two million, two hundred forty-eight thousand, six hundred forty".