7257316500 has 864 divisors, whose sum is σ = 29363233536. Its totient is φ = 1556755200.

The previous prime is 7257316487. The next prime is 7257316511. The reversal of 7257316500 is 56137527.

7257316500 is a `hidden beast` number, since 72 + 5 + 73 + 16 + 500 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136930474 + ... + 136930526.

It is an arithmetic number, because the mean of its divisors is an integer number (33985224).

Almost surely, 2^7257316500 is an apocalyptic number.

7257316500 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 7257316500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681616768).

7257316500 is an abundant number, since it is smaller than the sum of its proper divisors (22105917036).

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

7257316500 is a wasteful number, since it uses less digits than its factorization.

7257316500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 7257316500 is about 85189.8849629462. The cubic root of 7257316500 is about 1936.0891650786.

It can be divided in two parts, 725 and 7316500, that added together give a triangular number (7317225 = T₃₈₂₅).

The spelling of 7257316500 in words is "seven billion, two hundred fifty-seven million, three hundred sixteen thousand, five hundred".