7506874368 has 208 divisors, whose sum is σ = 25419621760. Its totient is φ = 2144600064.

The previous prime is 7506874321. The next prime is 7506874391. The reversal of 7506874368 is 8634786057.

7506874368 is a `hidden beast` number, since 7 + 506 + 8 + 74 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769296 + ... + 778992.

It is an arithmetic number, because the mean of its divisors is an integer number (122209720).

Almost surely, 2^7506874368 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 7506874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709810880).

7506874368 is an abundant number, since it is smaller than the sum of its proper divisors (17912747392).

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

7506874368 is an equidigital number, since it uses as much as digits as its factorization.

7506874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7506874368 is about 86642.2204701611. The cubic root of 7506874368 is about 1958.0316877532.

The spelling of 7506874368 in words is "seven billion, five hundred six million, eight hundred seventy-four thousand, three hundred sixty-eight".