35082720768 has 160 divisors (see below), whose sum is σ = 98018949600. Its totient is φ = 11135287296.

The previous prime is 35082720727. The next prime is 35082720781. The reversal of 35082720768 is 86702728053.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3246318 + ... + 3257106.

It is an arithmetic number, because the mean of its divisors is an integer number (612618435).

Almost surely, 2^35082720768 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 35082720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49009474800).

35082720768 is an abundant number, since it is smaller than the sum of its proper divisors (62936228832).

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

35082720768 is a wasteful number, since it uses less digits than its factorization.

35082720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 35082720768 in words is "thirty-five billion, eighty-two million, seven hundred twenty thousand, seven hundred sixty-eight".