7516390464 has 336 divisors, whose sum is σ = 24863267520. Its totient is φ = 2232023040.

The previous prime is 7516390459. The next prime is 7516390507. The reversal of 7516390464 is 4640936157.

7516390464 is a `hidden beast` number, since 7 + 5 + 1 + 639 + 0 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×7516390464² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9066402 + ... + 9067230.

It is an arithmetic number, because the mean of its divisors is an integer number (73997820).

Almost surely, 2^7516390464 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 7516390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431633760).

7516390464 is an abundant number, since it is smaller than the sum of its proper divisors (17346877056).

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

7516390464 is a wasteful number, since it uses less digits than its factorization.

7516390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7516390464 is about 86697.1191216871. The cubic root of 7516390464 is about 1958.8587052679.

The spelling of 7516390464 in words is "seven billion, five hundred sixteen million, three hundred ninety thousand, four hundred sixty-four".