33866087640 has 512 divisors, whose sum is σ = 131861053440. Its totient is φ = 6752563200.

The previous prime is 33866087611. The next prime is 33866087641. The reversal of 33866087640 is 4678066833.

It is a happy number.

It is a super-2 number, since 2×33866087640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33866087641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39241849 + ... + 39242711.

It is an arithmetic number, because the mean of its divisors is an integer number (257541120).

Almost surely, 2^33866087640 is an apocalyptic number.

33866087640 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 33866087640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65930526720).

33866087640 is an abundant number, since it is smaller than the sum of its proper divisors (97994965800).

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

33866087640 is a wasteful number, since it uses less digits than its factorization.

33866087640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 33866087640 in words is "thirty-three billion, eight hundred sixty-six million, eighty-seven thousand, six hundred forty".