72450404640 has 480 divisors, whose sum is σ = 266480565120. Its totient is φ = 18521395200.

The previous prime is 72450404627. The next prime is 72450404647. The reversal of 72450404640 is 4640405427.

72450404640 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 0 + 4 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×72450404640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72450404595 and 72450404604.

It is not an unprimeable number, because it can be changed into a prime (72450404647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31349085 + ... + 31351395.

It is an arithmetic number, because the mean of its divisors is an integer number (555167844).

Almost surely, 2^72450404640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72450404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133240282560).

72450404640 is an abundant number, since it is smaller than the sum of its proper divisors (194030160480).

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

72450404640 is a wasteful number, since it uses less digits than its factorization.

72450404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 72450404640 in words is "seventy-two billion, four hundred fifty million, four hundred four thousand, six hundred forty".