35968463496000 has 1344 divisors, whose sum is σ = 152992978305024. Its totient is φ = 7893075456000.

The previous prime is 35968463495947. The next prime is 35968463496019. The reversal of 35968463496000 is 69436486953.

It is a happy number.

35968463496000 is a `hidden beast` number, since 3 + 5 + 9 + 6 + 84 + 63 + 496 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1984238937 + ... + 1984257063.

Almost surely, 2^{35968463496000} is an apocalyptic number.

35968463496000 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 35968463496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76496489152512).

35968463496000 is an abundant number, since it is smaller than the sum of its proper divisors (117024514809024).

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

35968463496000 is a wasteful number, since it uses less digits than its factorization.

35968463496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18325 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 35968463496000 in words is "thirty-five trillion, nine hundred sixty-eight billion, four hundred sixty-three million, four hundred ninety-six thousand".