32913485740800 has 1728 divisors, whose sum is σ = 146250194944000. Its totient is φ = 7075169648640.

The previous prime is 32913485740769. The next prime is 32913485740801. The reversal of 32913485740800 is 804758431923.

It is a happy number.

32913485740800 is a `hidden beast` number, since 3 + 2 + 9 + 13 + 485 + 74 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32913485740801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3194548449 + ... + 3194558751.

Almost surely, 2^{32913485740800} is an apocalyptic number.

32913485740800 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 32913485740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73125097472000).

32913485740800 is an abundant number, since it is smaller than the sum of its proper divisors (113336709203200).

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

32913485740800 is a wasteful number, since it uses less digits than its factorization.

32913485740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32913485740800 in words is "thirty-two trillion, nine hundred thirteen billion, four hundred eighty-five million, seven hundred forty thousand, eight hundred".