35468104960 has 144 divisors (see below), whose sum is σ = 89036640000. Its totient is φ = 13511393280.

The previous prime is 35468104951. The next prime is 35468105009. The reversal of 35468104960 is 6940186453.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 35468104960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7092541 + ... + 7097539.

It is an arithmetic number, because the mean of its divisors is an integer number (618310000).

Almost surely, 2^35468104960 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 35468104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44518320000).

35468104960 is an abundant number, since it is smaller than the sum of its proper divisors (53568535040).

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

35468104960 is a wasteful number, since it uses less digits than its factorization.

35468104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 35468104960 in words is "thirty-five billion, four hundred sixty-eight million, one hundred four thousand, nine hundred sixty".