33827464416 has 96 divisors (see below), whose sum is σ = 98968988160. Its totient is φ = 10053974016.

The previous prime is 33827464403. The next prime is 33827464423. The reversal of 33827464416 is 61446472833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33827464416² (a number of 22 digits) contains 22 as substring.

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, 514456 + ... + 576471.

It is an arithmetic number, because the mean of its divisors is an integer number (1030926960).

Almost surely, 2^33827464416 is an apocalyptic number.

It is an amenable number.

33827464416 is an abundant number, since it is smaller than the sum of its proper divisors (65141523744).

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

33827464416 is a wasteful number, since it uses less digits than its factorization.

33827464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090976 (or 1090968 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 33827464416 in words is "thirty-three billion, eight hundred twenty-seven million, four hundred sixty-four thousand, four hundred sixteen".