7406116182720 has 280 divisors, whose sum is σ = 26434799488944. Its totient is φ = 1968221804544.

The previous prime is 7406116182719. The next prime is 7406116182779. The reversal of 7406116182720 is 272816116047.

7406116182720 is a `hidden beast` number, since 7 + 4 + 0 + 6 + 1 + 1 + 618 + 2 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7106967 + ... + 8082153.

Almost surely, 2^{7406116182720} 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 7406116182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217399744472).

7406116182720 is an abundant number, since it is smaller than the sum of its proper divisors (19028683306224).

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

7406116182720 is a wasteful number, since it uses less digits than its factorization.

7406116182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975509 (or 975490 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 7406116182720 in words is "seven trillion, four hundred six billion, one hundred sixteen million, one hundred eighty-two thousand, seven hundred twenty".