35798827680 has 864 divisors, whose sum is σ = 156854880000. Its totient is φ = 7426298880.

The previous prime is 35798827667. The next prime is 35798827709. The reversal of 35798827680 is 8672889753.

35798827680 is a `hidden beast` number, since 357 + 9 + 8 + 8 + 276 + 8 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 59764021 + ... + 59764619.

It is an arithmetic number, because the mean of its divisors is an integer number (181545000).

Almost surely, 2^35798827680 is an apocalyptic number.

35798827680 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 35798827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440000).

35798827680 is an abundant number, since it is smaller than the sum of its proper divisors (121056052320).

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

35798827680 is a wasteful number, since it uses less digits than its factorization.

35798827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 35798827680 in words is "thirty-five billion, seven hundred ninety-eight million, eight hundred twenty-seven thousand, six hundred eighty".