7112591640 has 768 divisors, whose sum is σ = 30886272000. Its totient is φ = 1414195200.

The previous prime is 7112591627. The next prime is 7112591669. The reversal of 7112591640 is 461952117.

7112591640 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 5 + 9 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7112591595 and 7112591604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79916716 + ... + 79916804.

It is an arithmetic number, because the mean of its divisors is an integer number (40216500).

Almost surely, 2^7112591640 is an apocalyptic number.

7112591640 is a gapful number since it is divisible by the number (70) 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 7112591640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443136000).

7112591640 is an abundant number, since it is smaller than the sum of its proper divisors (23773680360).

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

7112591640 is a wasteful number, since it uses less digits than its factorization.

7112591640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7112591640 is about 84336.1822707194. The cubic root of 7112591640 is about 1923.1328735754.

The spelling of 7112591640 in words is "seven billion, one hundred twelve million, five hundred ninety-one thousand, six hundred forty".