7501116672 has 288 divisors, whose sum is σ = 25499308800. Its totient is φ = 2130665472.

The previous prime is 7501116631. The next prime is 7501116731. The reversal of 7501116672 is 2766111057.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11079598 + ... + 11080274.

Almost surely, 2^7501116672 is an apocalyptic number.

7501116672 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 7501116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749654400).

7501116672 is an abundant number, since it is smaller than the sum of its proper divisors (17998192128).

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

7501116672 is a wasteful number, since it uses less digits than its factorization.

7501116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 7501116672 is about 86608.9872472828. The cubic root of 7501116672 is about 1957.5309629430.

The spelling of 7501116672 in words is "seven billion, five hundred one million, one hundred sixteen thousand, six hundred seventy-two".