22003712640 has 768 divisors, whose sum is σ = 97675200000. Its totient is φ = 4640219136.

The previous prime is 22003712623. The next prime is 22003712659. The reversal of 22003712640 is 4621730022.

22003712640 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 3 + 7 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11006361 + ... + 11008359.

It is an arithmetic number, because the mean of its divisors is an integer number (127181250).

Almost surely, 2^22003712640 is an apocalyptic number.

22003712640 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 22003712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48837600000).

22003712640 is an abundant number, since it is smaller than the sum of its proper divisors (75671487360).

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

22003712640 is a wasteful number, since it uses less digits than its factorization.

22003712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22003712640 in words is "twenty-two billion, three million, seven hundred twelve thousand, six hundred forty".