22764941640 has 192 divisors, whose sum is σ = 85428120960. Its totient is φ = 5149716480.

The previous prime is 22764941603. The next prime is 22764941677. The reversal of 22764941640 is 4614946722.

22764941640 is a `hidden beast` number, since 227 + 6 + 4 + 9 + 416 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22764941603) and next prime (22764941677).

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

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, 197875 + ... + 291005.

It is an arithmetic number, because the mean of its divisors is an integer number (444938130).

Almost surely, 2^22764941640 is an apocalyptic number.

22764941640 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 22764941640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714060480).

22764941640 is an abundant number, since it is smaller than the sum of its proper divisors (62663179320).

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

22764941640 is a wasteful number, since it uses less digits than its factorization.

22764941640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93252 (or 93245 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22764941640 in words is "twenty-two billion, seven hundred sixty-four million, nine hundred forty-one thousand, six hundred forty".