4189760640 has 320 divisors, whose sum is σ = 16115936760. Its totient is φ = 1031159808.

The previous prime is 4189760633. The next prime is 4189760671. The reversal of 4189760640 is 460679814.

4189760640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3097590336 + 1092170304 = 55656^2 + 33048^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 670812 + ... + 677028.

Almost surely, 2^4189760640 is an apocalyptic number.

4189760640 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 4189760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057968380).

4189760640 is an abundant number, since it is smaller than the sum of its proper divisors (11926176120).

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

4189760640 is a wasteful number, since it uses less digits than its factorization.

4189760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4189760640 is about 64728.3603994416. The cubic root of 4189760640 is about 1612.1164301293.

The spelling of 4189760640 in words is "four billion, one hundred eighty-nine million, seven hundred sixty thousand, six hundred forty".