6439093920 has 576 divisors, whose sum is σ = 27613353600. Its totient is φ = 1393459200.

The previous prime is 6439093919. The next prime is 6439093951. The reversal of 6439093920 is 293909346.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021120 + ... + 4022720.

It is an arithmetic number, because the mean of its divisors is an integer number (47939850).

Almost surely, 2^6439093920 is an apocalyptic number.

6439093920 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 6439093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806676800).

6439093920 is an abundant number, since it is smaller than the sum of its proper divisors (21174259680).

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

6439093920 is a wasteful number, since it uses less digits than its factorization.

6439093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 6439093920 is about 80243.9650067218. The cubic root of 6439093920 is about 1860.4082350553.

The spelling of 6439093920 in words is "six billion, four hundred thirty-nine million, ninety-three thousand, nine hundred twenty".