32778883493400 has 384 divisors, whose sum is σ = 112521180326400. Its totient is φ = 7826972160000.

The previous prime is 32778883493371. The next prime is 32778883493401. The reversal of 32778883493400 is 439438887723.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32778883493401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 497151636 + ... + 497217564.

It is an arithmetic number, because the mean of its divisors is an integer number (293023907100).

Almost surely, 2^{32778883493400} is an apocalyptic number.

32778883493400 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 32778883493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260590163200).

32778883493400 is an abundant number, since it is smaller than the sum of its proper divisors (79742296833000).

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

32778883493400 is a wasteful number, since it uses less digits than its factorization.

32778883493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67091 (or 67082 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 32778883493400 in words is "thirty-two trillion, seven hundred seventy-eight billion, eight hundred eighty-three million, four hundred ninety-three thousand, four hundred".