1640883720 has 192 divisors, whose sum is σ = 5716206720. Its totient is φ = 369128448.

The previous prime is 1640883709. The next prime is 1640883731. The reversal of 1640883720 is 273880461.

It is an interprime number because it is at equal distance from previous prime (1640883709) and next prime (1640883731).

It is a super-2 number, since 2×1640883720² = 5384998765122076800, which contains 22 as substring.

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, 5242284 + ... + 5242596.

It is an arithmetic number, because the mean of its divisors is an integer number (29771910).

Almost surely, 2^1640883720 is an apocalyptic number.

1640883720 is a gapful number since it is divisible by the number (10) 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 1640883720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858103360).

1640883720 is an abundant number, since it is smaller than the sum of its proper divisors (4075323000).

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

1640883720 is a wasteful number, since it uses less digits than its factorization.

1640883720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1640883720 is about 40507.8229481664. The cubic root of 1640883720 is about 1179.4854886097.

It can be divided in two parts, 16408 and 83720, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 1640883720 in words is "one billion, six hundred forty million, eight hundred eighty-three thousand, seven hundred twenty".