33790868496 has 720 divisors, whose sum is σ = 127553613824. Its totient is φ = 8468064000.

The previous prime is 33790868483. The next prime is 33790868509. The reversal of 33790868496 is 69486809733.

It is an interprime number because it is at equal distance from previous prime (33790868483) and next prime (33790868509).

It is a super-2 number, since 2×33790868496² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102087051 + ... + 102087381.

Almost surely, 2^33790868496 is an apocalyptic number.

33790868496 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 33790868496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776806912).

33790868496 is an abundant number, since it is smaller than the sum of its proper divisors (93762745328).

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

33790868496 is a wasteful number, since it uses less digits than its factorization.

33790868496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 33790868496 in words is "thirty-three billion, seven hundred ninety million, eight hundred sixty-eight thousand, four hundred ninety-six".