7506876672 has 216 divisors, whose sum is σ = 22721823488. Its totient is φ = 2380492800.

The previous prime is 7506876667. The next prime is 7506876697. The reversal of 7506876672 is 2766786057.

7506876672 is a `hidden beast` number, since 7 + 506 + 8 + 7 + 66 + 72 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4356003 + ... + 4357725.

Almost surely, 2^7506876672 is an apocalyptic number.

7506876672 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 7506876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360911744).

7506876672 is an abundant number, since it is smaller than the sum of its proper divisors (15214946816).

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

7506876672 is a wasteful number, since it uses less digits than its factorization.

7506876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7506876672 is about 86642.2337662182. The cubic root of 7506876672 is about 1958.0318880720.

The spelling of 7506876672 in words is "seven billion, five hundred six million, eight hundred seventy-six thousand, six hundred seventy-two".