7496681407488 has 2112 divisors, whose sum is σ = 29939420689920. Its totient is φ = 1835352981504.

The previous prime is 7496681407459. The next prime is 7496681407489. The reversal of 7496681407488 is 8847041866947.

7496681407488 is a `hidden beast` number, since 7 + 4 + 9 + 66 + 81 + 4 + 0 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7496681407489) 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, 102694265820 + ... + 102694265892.

Almost surely, 2^{7496681407488} is an apocalyptic number.

7496681407488 is a gapful number since it is divisible by the number (78) 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 7496681407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969710344960).

7496681407488 is an abundant number, since it is smaller than the sum of its proper divisors (22442739282432).

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

7496681407488 is an equidigital number, since it uses as much as digits as its factorization.

7496681407488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 7496681407488 in words is "seven trillion, four hundred ninety-six billion, six hundred eighty-one million, four hundred seven thousand, four hundred eighty-eight".