32861687040 has 1296 divisors, whose sum is σ = 148690109568. Its totient is φ = 6772211712.

The previous prime is 32861687017. The next prime is 32861687087. The reversal of 32861687040 is 4078616823.

32861687040 is a `hidden beast` number, since 3 + 28 + 616 + 8 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×32861687040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764225259 + ... + 764225301.

Almost surely, 2^32861687040 is an apocalyptic number.

32861687040 is a gapful number since it is divisible by the number (30) 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 32861687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74345054784).

32861687040 is an abundant number, since it is smaller than the sum of its proper divisors (115828422528).

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

32861687040 is an frugal number, since it uses more digits than its factorization.

32861687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 32861687040 in words is "thirty-two billion, eight hundred sixty-one million, six hundred eighty-seven thousand, forty".