35673664320 has 336 divisors, whose sum is σ = 147613664640. Its totient is φ = 7724740608.

The previous prime is 35673664307. The next prime is 35673664363. The reversal of 35673664320 is 2346637653.

35673664320 is a `hidden beast` number, since 3 + 567 + 3 + 6 + 64 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×35673664320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336474 + ... + 429606.

Almost surely, 2^35673664320 is an apocalyptic number.

35673664320 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 35673664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73806832320).

35673664320 is an abundant number, since it is smaller than the sum of its proper divisors (111940000320).

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

35673664320 is a wasteful number, since it uses less digits than its factorization.

35673664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93182 (or 93169 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 35673664320 in words is "thirty-five billion, six hundred seventy-three million, six hundred sixty-four thousand, three hundred twenty".