6139964160 has 576 divisors, whose sum is σ = 24582942720. Its totient is φ = 1437696000.

The previous prime is 6139964153. The next prime is 6139964179. The reversal of 6139964160 is 614699316.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 11784700 + ... + 11785220.

It is an arithmetic number, because the mean of its divisors is an integer number (42678720).

Almost surely, 2^6139964160 is an apocalyptic number.

6139964160 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 6139964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291471360).

6139964160 is an abundant number, since it is smaller than the sum of its proper divisors (18442978560).

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

6139964160 is a wasteful number, since it uses less digits than its factorization.

6139964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 6139964160 is about 78357.9234028059. The cubic root of 6139964160 is about 1831.1416686878.

It can be divided in two parts, 6139 and 964160, that added together give a cube (970299 = 99³).

The spelling of 6139964160 in words is "six billion, one hundred thirty-nine million, nine hundred sixty-four thousand, one hundred sixty".