864115892640 has 1536 divisors, whose sum is σ = 4112539361280. Its totient is φ = 165677322240.

The previous prime is 864115892609. The next prime is 864115892671. The reversal of 864115892640 is 46298511468.

864115892640 is a `hidden beast` number, since 8 + 6 + 4 + 11 + 589 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (864115892609) and next prime (864115892671).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350268687 + ... + 350271153.

It is an arithmetic number, because the mean of its divisors is an integer number (2677434480).

Almost surely, 2^864115892640 is an apocalyptic number.

864115892640 is a gapful number since it is divisible by the number (80) 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 864115892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056269680640).

864115892640 is an abundant number, since it is smaller than the sum of its proper divisors (3248423468640).

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

864115892640 is a wasteful number, since it uses less digits than its factorization.

864115892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 864115892640 in words is "eight hundred sixty-four billion, one hundred fifteen million, eight hundred ninety-two thousand, six hundred forty".