6515457120 has 72 divisors (see below), whose sum is σ = 22234002336. Its totient is φ = 1737454848.

The previous prime is 6515457107. The next prime is 6515457121. The reversal of 6515457120 is 217545156.

6515457120 is a `hidden beast` number, since 65 + 1 + 5 + 4 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6515457121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2260872 + ... + 2263751.

It is an arithmetic number, because the mean of its divisors is an integer number (308805588).

Almost surely, 2^6515457120 is an apocalyptic number.

6515457120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6515457120 is an abundant number, since it is smaller than the sum of its proper divisors (15718545216).

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

6515457120 is a wasteful number, since it uses less digits than its factorization.

6515457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524644 (or 4524633 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 6515457120 is about 80718.3815496817. The cubic root of 6515457120 is about 1867.7337374037.

The spelling of 6515457120 in words is "six billion, five hundred fifteen million, four hundred fifty-seven thousand, one hundred twenty".