35396796960 has 768 divisors, whose sum is σ = 148790476800. Its totient is φ = 7688908800.

The previous prime is 35396796923. The next prime is 35396796961. The reversal of 35396796960 is 6969769353.

35396796960 is a `hidden beast` number, since 3 + 539 + 6 + 7 + 9 + 6 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (35396796961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57183531 + ... + 57184149.

It is an arithmetic number, because the mean of its divisors is an integer number (193737600).

Almost surely, 2^35396796960 is an apocalyptic number.

35396796960 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 35396796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74395238400).

35396796960 is an abundant number, since it is smaller than the sum of its proper divisors (113393679840).

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

35396796960 is a wasteful number, since it uses less digits than its factorization.

35396796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 63.

The spelling of 35396796960 in words is "thirty-five billion, three hundred ninety-six million, seven hundred ninety-six thousand, nine hundred sixty".