33695778816 has 384 divisors, whose sum is σ = 114853939200. Its totient is φ = 9561784320.

The previous prime is 33695778769. The next prime is 33695778833. The reversal of 33695778816 is 61887759633.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33695778816² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 101799771 + ... + 101800101.

It is an arithmetic number, because the mean of its divisors is an integer number (299098800).

Almost surely, 2^33695778816 is an apocalyptic number.

33695778816 is a gapful number since it is divisible by the number (36) 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 33695778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57426969600).

33695778816 is an abundant number, since it is smaller than the sum of its proper divisors (81158160384).

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

33695778816 is a wasteful number, since it uses less digits than its factorization.

33695778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 33695778816 in words is "thirty-three billion, six hundred ninety-five million, seven hundred seventy-eight thousand, eight hundred sixteen".