1864712640 has 280 divisors, whose sum is σ = 6915332880. Its totient is φ = 425693184.

The previous prime is 1864712627. The next prime is 1864712653. The reversal of 1864712640 is 462174681.

It is an interprime number because it is at equal distance from previous prime (1864712627) and next prime (1864712653).

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2304556 + ... + 2305364.

Almost surely, 2^1864712640 is an apocalyptic number.

1864712640 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 1864712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457666440).

1864712640 is an abundant number, since it is smaller than the sum of its proper divisors (5050620240).

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

1864712640 is an frugal number, since it uses more digits than its factorization.

1864712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 826 counting only the distinct ones).

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

The square root of 1864712640 is about 43182.3186037989. The cubic root of 1864712640 is about 1230.8467168844.

The spelling of 1864712640 in words is "one billion, eight hundred sixty-four million, seven hundred twelve thousand, six hundred forty".