33257864640 has 896 divisors, whose sum is σ = 144672417792. Its totient is φ = 6249185280.

The previous prime is 33257864621. The next prime is 33257864641. The reversal of 33257864640 is 4646875233.

It is a super-2 number, since 2×33257864640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33257864640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33257864641) 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, 50930554 + ... + 50931206.

It is an arithmetic number, because the mean of its divisors is an integer number (161464752).

Almost surely, 2^33257864640 is an apocalyptic number.

33257864640 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 33257864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72336208896).

33257864640 is an abundant number, since it is smaller than the sum of its proper divisors (111414553152).

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

33257864640 is a wasteful number, since it uses less digits than its factorization.

33257864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 33257864640 in words is "thirty-three billion, two hundred fifty-seven million, eight hundred sixty-four thousand, six hundred forty".