6417290880 has 1536 divisors, whose sum is σ = 31646764800. Its totient is φ = 1207664640.

The previous prime is 6417290879. The next prime is 6417290903. The reversal of 6417290880 is 880927146.

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

It is a zygodrome in base 4.

It is a congruent number.

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, 121080934 + ... + 121080986.

Almost surely, 2^6417290880 is an apocalyptic number.

6417290880 is a gapful number since it is divisible by the number (60) 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 6417290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823382400).

6417290880 is an abundant number, since it is smaller than the sum of its proper divisors (25229473920).

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

6417290880 is a wasteful number, since it uses less digits than its factorization.

6417290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6417290880 is about 80107.9951066059. The cubic root of 6417290880 is about 1858.3060540055.

The spelling of 6417290880 in words is "six billion, four hundred seventeen million, two hundred ninety thousand, eight hundred eighty".