6460376416 has 144 divisors (see below), whose sum is σ = 14465639664. Its totient is φ = 2821174272.

The previous prime is 6460376401. The next prime is 6460376441. The reversal of 6460376416 is 6146730646.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28459695 + ... + 28459921.

It is an arithmetic number, because the mean of its divisors is an integer number (100455831).

Almost surely, 2^6460376416 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 6460376416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232819832).

6460376416 is an abundant number, since it is smaller than the sum of its proper divisors (8005263248).

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

6460376416 is a wasteful number, since it uses less digits than its factorization.

6460376416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 6460376416 is about 80376.4668046562. The cubic root of 6460376416 is about 1862.4556550317.

The spelling of 6460376416 in words is "six billion, four hundred sixty million, three hundred seventy-six thousand, four hundred sixteen".