7522914672 has 480 divisors, whose sum is σ = 27009382400. Its totient is φ = 1913393664.

The previous prime is 7522914617. The next prime is 7522914683. The reversal of 7522914672 is 2764192257.

Its product of digits (423360) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95226729 + ... + 95226807.

Almost surely, 2^7522914672 is an apocalyptic number.

7522914672 is a gapful number since it is divisible by the number (72) 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 7522914672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504691200).

7522914672 is an abundant number, since it is smaller than the sum of its proper divisors (19486467728).

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

7522914672 is a wasteful number, since it uses less digits than its factorization.

7522914672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7522914672 is about 86734.7374008822. The cubic root of 7522914672 is about 1959.4253028393.

The spelling of 7522914672 in words is "seven billion, five hundred twenty-two million, nine hundred fourteen thousand, six hundred seventy-two".