35398296864 has 576 divisors, whose sum is σ = 128794337280. Its totient is φ = 9254684160.

The previous prime is 35398296839. The next prime is 35398296877. The reversal of 35398296864 is 46869289353.

35398296864 is a `hidden beast` number, since 3 + 539 + 8 + 2 + 96 + 8 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67682907 + ... + 67683429.

It is an arithmetic number, because the mean of its divisors is an integer number (223601280).

Almost surely, 2^35398296864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35398296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64397168640).

35398296864 is an abundant number, since it is smaller than the sum of its proper divisors (93396040416).

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

35398296864 is a wasteful number, since it uses less digits than its factorization.

35398296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 585 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 35398296864 in words is "thirty-five billion, three hundred ninety-eight million, two hundred ninety-six thousand, eight hundred sixty-four".