7404792151680 has 1536 divisors, whose sum is σ = 33751261440000. Its totient is φ = 1449237381120.

The previous prime is 7404792151663. The next prime is 7404792151709. The reversal of 7404792151680 is 861512974047.

7404792151680 is a `hidden beast` number, since 7 + 4 + 0 + 47 + 9 + 2 + 1 + 516 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1508409066 + ... + 1508413974.

It is an arithmetic number, because the mean of its divisors is an integer number (21973477500).

Almost surely, 2^{7404792151680} is an apocalyptic number.

7404792151680 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 7404792151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875630720000).

7404792151680 is an abundant number, since it is smaller than the sum of its proper divisors (26346469288320).

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

7404792151680 is a wasteful number, since it uses less digits than its factorization.

7404792151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7404792151680 in words is "seven trillion, four hundred four billion, seven hundred ninety-two million, one hundred fifty-one thousand, six hundred eighty".