7875058464 has 576 divisors, whose sum is σ = 29587783680. Its totient is φ = 2004341760.

The previous prime is 7875058441. The next prime is 7875058493. The reversal of 7875058464 is 4648505787.

7875058464 is a `hidden beast` number, since 7 + 8 + 7 + 50 + 584 + 6 + 4 = 666.

It is a super-2 number, since 2×7875058464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7875058464.

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 95 ways as a sum of consecutive naturals, for example, 21935917 + ... + 21936275.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 2^7875058464 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 7875058464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793891840).

7875058464 is an abundant number, since it is smaller than the sum of its proper divisors (21712725216).

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

7875058464 is a wasteful number, since it uses less digits than its factorization.

7875058464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 7875058464 is about 88741.5261532052. The cubic root of 7875058464 is about 1989.5335273561.

The spelling of 7875058464 in words is "seven billion, eight hundred seventy-five million, fifty-eight thousand, four hundred sixty-four".