7496722560 has 384 divisors, whose sum is σ = 26253331200. Its totient is φ = 1813217280.

The previous prime is 7496722553. The next prime is 7496722561. The reversal of 7496722560 is 652276947.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7496722560² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7496722561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31366921 + ... + 31367159.

It is an arithmetic number, because the mean of its divisors is an integer number (68368050).

Almost surely, 2^7496722560 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 7496722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126665600).

7496722560 is an abundant number, since it is smaller than the sum of its proper divisors (18756608640).

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

7496722560 is a wasteful number, since it uses less digits than its factorization.

7496722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 7496722560 is about 86583.6160021052. The cubic root of 7496722560 is about 1957.1486514015.

The spelling of 7496722560 in words is "seven billion, four hundred ninety-six million, seven hundred twenty-two thousand, five hundred sixty".