6416945040 has 160 divisors (see below), whose sum is σ = 22206007296. Its totient is φ = 1519418880.

The previous prime is 6416945027. The next prime is 6416945063. The reversal of 6416945040 is 405496146.

It is a super-3 number, since 3×6416945040³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6416945040.

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, 85257 + ... + 141783.

Almost surely, 2^6416945040 is an apocalyptic number.

6416945040 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 6416945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103003648).

6416945040 is an abundant number, since it is smaller than the sum of its proper divisors (15789062256).

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

6416945040 is a wasteful number, since it uses less digits than its factorization.

6416945040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56597 (or 56591 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6416945040 is about 80105.8364914817. The cubic root of 6416945040 is about 1858.2726708577.

The spelling of 6416945040 in words is "six billion, four hundred sixteen million, nine hundred forty-five thousand, forty".