6416893440 has 640 divisors, whose sum is σ = 24889835520. Its totient is φ = 1560674304.

The previous prime is 6416893429. The next prime is 6416893459. The reversal of 6416893440 is 443986146.

6416893440 is a `hidden beast` number, since 64 + 1 + 68 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50526657 + ... + 50526783.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^6416893440 is an apocalyptic number.

6416893440 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 6416893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444917760).

6416893440 is an abundant number, since it is smaller than the sum of its proper divisors (18472942080).

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

6416893440 is a wasteful number, since it uses less digits than its factorization.

6416893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6416893440 is about 80105.5144169239. The cubic root of 6416893440 is about 1858.2676899243.

The spelling of 6416893440 in words is "six billion, four hundred sixteen million, eight hundred ninety-three thousand, four hundred forty".