35709223680 has 288 divisors, whose sum is σ = 136467414720. Its totient is φ = 8789852160.

The previous prime is 35709223651. The next prime is 35709223691. The reversal of 35709223680 is 8632290753.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409540 + ... + 489020.

It is an arithmetic number, because the mean of its divisors is an integer number (473845190).

Almost surely, 2^35709223680 is an apocalyptic number.

35709223680 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 35709223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68233707360).

35709223680 is an abundant number, since it is smaller than the sum of its proper divisors (100758191040).

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

35709223680 is a wasteful number, since it uses less digits than its factorization.

35709223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79524 (or 79504 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 35709223680 in words is "thirty-five billion, seven hundred nine million, two hundred twenty-three thousand, six hundred eighty".