1939601664 has 648 divisors, whose sum is σ = 7776455232. Its totient is φ = 449003520.

The previous prime is 1939601663. The next prime is 1939601669. The reversal of 1939601664 is 4661069391.

1939601664 is a `hidden beast` number, since 1 + 9 + 39 + 601 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1939601664² = 7524109229983137792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1939601663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66882802 + ... + 66882830.

Almost surely, 2^1939601664 is an apocalyptic number.

1939601664 is a gapful number since it is divisible by the number (14) 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 1939601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888227616).

1939601664 is an abundant number, since it is smaller than the sum of its proper divisors (5836853568).

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

1939601664 is a wasteful number, since it uses less digits than its factorization.

1939601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

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

The square root of 1939601664 is about 44040.9089824449. The cubic root of 1939601664 is about 1247.1083374417.

The spelling of 1939601664 in words is "one billion, nine hundred thirty-nine million, six hundred one thousand, six hundred sixty-four".