7572421440 has 168 divisors, whose sum is σ = 26104291200. Its totient is φ = 2014792704.

The previous prime is 7572421421. The next prime is 7572421453. The reversal of 7572421440 is 441242757.

7572421440 is a `hidden beast` number, since 7 + 572 + 42 + 1 + 4 + 40 = 666.

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 = 7572421395 and 7572421404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399861 + ... + 1405259.

Almost surely, 2^7572421440 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 7572421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052145600).

7572421440 is an abundant number, since it is smaller than the sum of its proper divisors (18531869760).

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

7572421440 is a wasteful number, since it uses less digits than its factorization.

7572421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 7572421440 is about 87019.6612266446. The cubic root of 7572421440 is about 1963.7141014866.

The spelling of 7572421440 in words is "seven billion, five hundred seventy-two million, four hundred twenty-one thousand, four hundred forty".