10033692672 has 288 divisors, whose sum is σ = 30198873600. Its totient is φ = 2944401408.

The previous prime is 10033692659. The next prime is 10033692709. The reversal of 10033692672 is 27629633001.

It is a super-2 number, since 2×10033692672² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10033692672.

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, 127008729 + ... + 127008807.

It is an arithmetic number, because the mean of its divisors is an integer number (104857200).

Almost surely, 2^10033692672 is an apocalyptic number.

10033692672 is a gapful number since it is divisible by the number (12) 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 10033692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099436800).

10033692672 is an abundant number, since it is smaller than the sum of its proper divisors (20165180928).

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

10033692672 is an frugal number, since it uses more digits than its factorization.

10033692672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

It can be divided in two parts, 10033 and 692672, that added together give a triangular number (702705 = T₁₁₈₅).

The spelling of 10033692672 in words is "ten billion, thirty-three million, six hundred ninety-two thousand, six hundred seventy-two".