32834092400640 has 1440 divisors, whose sum is σ = 123088658449680. Its totient is φ = 8365723877376.

The previous prime is 32834092400639. The next prime is 32834092400671. The reversal of 32834092400640 is 4600429043823.

32834092400640 is a `hidden beast` number, since 3 + 2 + 8 + 340 + 9 + 240 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29290783113216 + 3543309287424 = 5412096^2 + 1882368^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143380316046 + ... + 143380316274.

Almost surely, 2^{32834092400640} is an apocalyptic number.

32834092400640 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 32834092400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61544329224840).

32834092400640 is an abundant number, since it is smaller than the sum of its proper divisors (90254566049040).

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

32834092400640 is an frugal number, since it uses more digits than its factorization.

32834092400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 32834092400640 in words is "thirty-two trillion, eight hundred thirty-four billion, ninety-two million, four hundred thousand, six hundred forty".