7258751064 has 128 divisors (see below), whose sum is σ = 20701440000. Its totient is φ = 2355547392.

The previous prime is 7258751063. The next prime is 7258751081. The reversal of 7258751064 is 4601578527.

7258751064 is a `hidden beast` number, since 7 + 2 + 587 + 5 + 1 + 0 + 64 = 666.

It is a super-2 number, since 2×7258751064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7258751063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018452 + ... + 2022044.

It is an arithmetic number, because the mean of its divisors is an integer number (161730000).

Almost surely, 2^7258751064 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 7258751064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350720000).

7258751064 is an abundant number, since it is smaller than the sum of its proper divisors (13442688936).

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

7258751064 is a wasteful number, since it uses less digits than its factorization.

7258751064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 7258751064 is about 85198.3043493238. The cubic root of 7258751064 is about 1936.2167265002.

The spelling of 7258751064 in words is "seven billion, two hundred fifty-eight million, seven hundred fifty-one thousand, sixty-four".