7520408064 has 600 divisors, whose sum is σ = 25823609460. Its totient is φ = 2173796352.

The previous prime is 7520408059. The next prime is 7520408089. The reversal of 7520408064 is 4608040257.

It can be written as a sum of positive squares in 6 ways, for example, as 2642782464 + 4877625600 = 51408^2 + 69840^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 203254254 + ... + 203254290.

Almost surely, 2^7520408064 is an apocalyptic number.

7520408064 is a gapful number since it is divisible by the number (74) 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 7520408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911804730).

7520408064 is an abundant number, since it is smaller than the sum of its proper divisors (18303201396).

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

7520408064 is a wasteful number, since it uses less digits than its factorization.

7520408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7520408064 is about 86720.2863463907. The cubic root of 7520408064 is about 1959.2076541861.

The spelling of 7520408064 in words is "seven billion, five hundred twenty million, four hundred eight thousand, sixty-four".