32978336366400 has 336 divisors, whose sum is σ = 116998400837376. Its totient is φ = 8100810260480.

The previous prime is 32978336366369. The next prime is 32978336366401. The reversal of 32978336366400 is 466363387923.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32978336366401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464229 + ... + 8134628.

Almost surely, 2^{32978336366400} is an apocalyptic number.

32978336366400 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 32978336366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58499200418688).

32978336366400 is an abundant number, since it is smaller than the sum of its proper divisors (84020064470976).

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

32978336366400 is a wasteful number, since it uses less digits than its factorization.

32978336366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598946 (or 8598931 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 60.

The spelling of 32978336366400 in words is "thirty-two trillion, nine hundred seventy-eight billion, three hundred thirty-six million, three hundred sixty-six thousand, four hundred".