33420074688000 has 3840 divisors, whose sum is σ = 166964693575680. Its totient is φ = 6364127232000.

The previous prime is 33420074687977. The next prime is 33420074688023. The reversal of 33420074688000 is 88647002433.

It is an interprime number because it is at equal distance from previous prime (33420074687977) and next prime (33420074688023).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×33420074688000² (a number of 28 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 383 ways as a sum of consecutive naturals, for example, 240432191931 + ... + 240432192069.

It is an arithmetic number, because the mean of its divisors is an integer number (43480388952).

Almost surely, 2^{33420074688000} is an apocalyptic number.

33420074688000 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 33420074688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83482346787840).

33420074688000 is an abundant number, since it is smaller than the sum of its proper divisors (133544618887680).

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

33420074688000 is a wasteful number, since it uses less digits than its factorization.

33420074688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 33420074688000 in words is "thirty-three trillion, four hundred twenty billion, seventy-four million, six hundred eighty-eight thousand".