7517434680 has 384 divisors, whose sum is σ = 29706393600. Its totient is φ = 1609445376.

The previous prime is 7517434667. The next prime is 7517434733. The reversal of 7517434680 is 864347157.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16236129 + ... + 16236591.

It is an arithmetic number, because the mean of its divisors is an integer number (77360400).

Almost surely, 2^7517434680 is an apocalyptic number.

7517434680 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 7517434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853196800).

7517434680 is an abundant number, since it is smaller than the sum of its proper divisors (22188958920).

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

7517434680 is a wasteful number, since it uses less digits than its factorization.

7517434680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7517434680 is about 86703.1411195696. The cubic root of 7517434680 is about 1958.9494126757.

The spelling of 7517434680 in words is "seven billion, five hundred seventeen million, four hundred thirty-four thousand, six hundred eighty".