1640103840 has 72 divisors (see below), whose sum is σ = 5596859268. Its totient is φ = 437360640.

The previous prime is 1640103833. The next prime is 1640103841. The reversal of 1640103840 is 483010461.

1640103840 is a `hidden beast` number, since 1 + 640 + 10 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1336926096 + 303177744 = 36564^2 + 17412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1640103841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568041 + ... + 570920.

Almost surely, 2^1640103840 is an apocalyptic number.

1640103840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640103840 is an abundant number, since it is smaller than the sum of its proper divisors (3956755428).

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

1640103840 is a wasteful number, since it uses less digits than its factorization.

1640103840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138982 (or 1138971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1640103840 is about 40498.1955153560. The cubic root of 1640103840 is about 1179.2985968553.

The spelling of 1640103840 in words is "one billion, six hundred forty million, one hundred three thousand, eight hundred forty".