6415784880 has 80 divisors (see below), whose sum is σ = 19925700864. Its totient is φ = 1707713280.

The previous prime is 6415784863. The next prime is 6415784897. The reversal of 6415784880 is 884875146.

It is an interprime number because it is at equal distance from previous prime (6415784863) and next prime (6415784897).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6415784880² = 82324591252873228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106845 + ... + 155715.

Almost surely, 2^6415784880 is an apocalyptic number.

6415784880 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 6415784880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962850432).

6415784880 is an abundant number, since it is smaller than the sum of its proper divisors (13509915984).

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

6415784880 is a wasteful number, since it uses less digits than its factorization.

6415784880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49434 (or 49428 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 6415784880 is about 80098.5947442276. The cubic root of 6415784880 is about 1858.1606744925.

The spelling of 6415784880 in words is "six billion, four hundred fifteen million, seven hundred eighty-four thousand, eight hundred eighty".