7502097960 has 768 divisors, whose sum is σ = 31912704000. Its totient is φ = 1556029440.

The previous prime is 7502097949. The next prime is 7502097961. The reversal of 7502097960 is 697902057.

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

It is not an unprimeable number, because it can be changed into a prime (7502097961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27888706 + ... + 27888974.

It is an arithmetic number, because the mean of its divisors is an integer number (41553000).

Almost surely, 2^7502097960 is an apocalyptic number.

7502097960 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 7502097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956352000).

7502097960 is an abundant number, since it is smaller than the sum of its proper divisors (24410606040).

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

7502097960 is a wasteful number, since it uses less digits than its factorization.

7502097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7502097960 is about 86614.6521092130. The cubic root of 7502097960 is about 1957.6163199180.

It can be divided in two parts, 7502097 and 960, that added together give a palindrome (7503057).

The spelling of 7502097960 in words is "seven billion, five hundred two million, ninety-seven thousand, nine hundred sixty".