7491040972800 has 2496 divisors, whose sum is σ = 32995916697600. Its totient is φ = 1483603968000.

The previous prime is 7491040972781. The next prime is 7491040972801. The reversal of 7491040972800 is 82790401947.

It is a super-2 number, since 2×7491040972800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7491040972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26658508660 + ... + 26658508940.

Almost surely, 2^{7491040972800} is an apocalyptic number.

7491040972800 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 7491040972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497958348800).

7491040972800 is an abundant number, since it is smaller than the sum of its proper divisors (25504875724800).

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

7491040972800 is a wasteful number, since it uses less digits than its factorization.

7491040972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 7491040972800 in words is "seven trillion, four hundred ninety-one billion, forty million, nine hundred seventy-two thousand, eight hundred".