66178049400 has 144 divisors (see below), whose sum is σ = 222360295560. Its totient is φ = 17638560000.

The previous prime is 66178049363. The next prime is 66178049411. The reversal of 66178049400 is 494087166.

66178049400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 4043634 + ... + 4059966.

Almost surely, 2^66178049400 is an apocalyptic number.

66178049400 is a gapful number since it is divisible by the number (60) 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 66178049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111180147780).

66178049400 is an abundant number, since it is smaller than the sum of its proper divisors (156182246160).

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

66178049400 is a wasteful number, since it uses less digits than its factorization.

66178049400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606 (or 18594 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 66178049400 in words is "sixty-six billion, one hundred seventy-eight million, forty-nine thousand, four hundred".