4406678640 has 960 divisors, whose sum is σ = 19654742016. Its totient is φ = 892809216.

The previous prime is 4406678623. The next prime is 4406678701. The reversal of 4406678640 is 468766044.

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 191 ways as a sum of consecutive naturals, for example, 83144854 + ... + 83144906.

Almost surely, 2^4406678640 is an apocalyptic number.

4406678640 is a gapful number since it is divisible by the number (40) 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 4406678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827371008).

4406678640 is an abundant number, since it is smaller than the sum of its proper divisors (15248063376).

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

4406678640 is a wasteful number, since it uses less digits than its factorization.

4406678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4406678640 is about 66382.8188615096. The cubic root of 4406678640 is about 1639.4712056812.

The spelling of 4406678640 in words is "four billion, four hundred six million, six hundred seventy-eight thousand, six hundred forty".