33413967360 has 480 divisors, whose sum is σ = 118959448608. Its totient is φ = 8665497600.

The previous prime is 33413967319. The next prime is 33413967371. The reversal of 33413967360 is 6376931433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33413967360² (a number of 22 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 47 ways as a sum of consecutive naturals, for example, 193144234 + ... + 193144406.

Almost surely, 2^33413967360 is an apocalyptic number.

33413967360 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 33413967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59479724304).

33413967360 is an abundant number, since it is smaller than the sum of its proper divisors (85545481248).

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

33413967360 is a wasteful number, since it uses less digits than its factorization.

33413967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 33413967360 in words is "thirty-three billion, four hundred thirteen million, nine hundred sixty-seven thousand, three hundred sixty".