6462759440 has 80 divisors (see below), whose sum is σ = 16248460032. Its totient is φ = 2381248512.

The previous prime is 6462759431. The next prime is 6462759481. The reversal of 6462759440 is 449572646.

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

It is a super-2 number, since 2×6462759440² = 83534519158618227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 13367 + ... + 114473.

Almost surely, 2^6462759440 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 6462759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124230016).

6462759440 is an abundant number, since it is smaller than the sum of its proper divisors (9785700592).

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

6462759440 is a wasteful number, since it uses less digits than its factorization.

6462759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101184 (or 101178 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The square root of 6462759440 is about 80391.2895779139. The cubic root of 6462759440 is about 1862.6846267737.

The spelling of 6462759440 in words is "six billion, four hundred sixty-two million, seven hundred fifty-nine thousand, four hundred forty".