7416806880 has 192 divisors, whose sum is σ = 27422599680. Its totient is φ = 1649424384.

The previous prime is 7416806857. The next prime is 7416806893. The reversal of 7416806880 is 886086147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94491 + ... + 154149.

It is an arithmetic number, because the mean of its divisors is an integer number (142826040).

Almost surely, 2^7416806880 is an apocalyptic number.

7416806880 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 7416806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711299840).

7416806880 is an abundant number, since it is smaller than the sum of its proper divisors (20005792800).

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

7416806880 is a wasteful number, since it uses less digits than its factorization.

7416806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59721 (or 59713 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 7416806880 is about 86120.8852718085. The cubic root of 7416806880 is about 1950.1693370367.

The spelling of 7416806880 in words is "seven billion, four hundred sixteen million, eight hundred six thousand, eight hundred eighty".