1639399104 has 336 divisors, whose sum is σ = 5644993536. Its totient is φ = 445132800.

The previous prime is 1639399051. The next prime is 1639399117. The reversal of 1639399104 is 4019939361.

1639399104 is a `hidden beast` number, since 1 + 639 + 3 + 9 + 9 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1639399104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7769559 + ... + 7769769.

It is an arithmetic number, because the mean of its divisors is an integer number (16800576).

Almost surely, 2^1639399104 is an apocalyptic number.

1639399104 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 1639399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822496768).

1639399104 is an abundant number, since it is smaller than the sum of its proper divisors (4005594432).

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

1639399104 is a wasteful number, since it uses less digits than its factorization.

1639399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 1639399104 is about 40489.4937483787. The cubic root of 1639399104 is about 1179.1296617709.

It can be divided in two parts, 1639 and 399104, that multiplied together give a palindrome (654131456).

The spelling of 1639399104 in words is "one billion, six hundred thirty-nine million, three hundred ninety-nine thousand, one hundred four".