7503972960 has 384 divisors, whose sum is σ = 26905955328. Its totient is φ = 1741824000.

The previous prime is 7503972943. The next prime is 7503972961. The reversal of 7503972960 is 692793057.

It is a super-2 number, since 2×7503972960² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7503972961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13870290 + ... + 13870830.

It is an arithmetic number, because the mean of its divisors is an integer number (70067592).

Almost surely, 2^7503972960 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 7503972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452977664).

7503972960 is an abundant number, since it is smaller than the sum of its proper divisors (19401982368).

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

7503972960 is a wasteful number, since it uses less digits than its factorization.

7503972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 7503972960 is about 86625.4752367916. The cubic root of 7503972960 is about 1957.7793954057.

It can be divided in two parts, 750397 and 2960, that added together give a palindrome (753357).

The spelling of 7503972960 in words is "seven billion, five hundred three million, nine hundred seventy-two thousand, nine hundred sixty".