35366820480 has 256 divisors, whose sum is σ = 125679340800. Its totient is φ = 9399398400.

The previous prime is 35366820479. The next prime is 35366820547. The reversal of 35366820480 is 8402866353.

It is a happy number.

35366820480 is a `hidden beast` number, since 3 + 5 + 366 + 8 + 204 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5370790 + ... + 5377370.

It is an arithmetic number, because the mean of its divisors is an integer number (490934925).

Almost surely, 2^35366820480 is an apocalyptic number.

35366820480 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 35366820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62839670400).

35366820480 is an abundant number, since it is smaller than the sum of its proper divisors (90312520320).

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

35366820480 is a wasteful number, since it uses less digits than its factorization.

35366820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 35366820480 in words is "thirty-five billion, three hundred sixty-six million, eight hundred twenty thousand, four hundred eighty".