35643498992640 has 2640 divisors, whose sum is σ = 166029549840000. Its totient is φ = 7149003079680.

The previous prime is 35643498992623. The next prime is 35643498992657. The reversal of 35643498992640 is 4629989434653.

35643498992640 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 3 + 498 + 9 + 92 + 6 + 40 = 666.

35643498992640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35643498992623) and next prime (35643498992657).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10186765611 + ... + 10186769109.

It is an arithmetic number, because the mean of its divisors is an integer number (62889981000).

Almost surely, 2^{35643498992640} is an apocalyptic number.

35643498992640 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 35643498992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83014774920000).

35643498992640 is an abundant number, since it is smaller than the sum of its proper divisors (130386050847360).

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

35643498992640 is a wasteful number, since it uses less digits than its factorization.

35643498992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 72.

The spelling of 35643498992640 in words is "thirty-five trillion, six hundred forty-three billion, four hundred ninety-eight million, nine hundred ninety-two thousand, six hundred forty".