546878102400 has 2304 divisors, whose sum is σ = 2486090880000. Its totient is φ = 114052055040.

The previous prime is 546878102389. The next prime is 546878102401. The reversal of 546878102400 is 4201878645.

546878102400 is a `hidden beast` number, since 546 + 8 + 7 + 81 + 0 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546878102401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6588892759 + ... + 6588892841.

It is an arithmetic number, because the mean of its divisors is an integer number (1079032500).

Almost surely, 2^546878102400 is an apocalyptic number.

546878102400 is a gapful number since it is divisible by the number (50) 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 546878102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243045440000).

546878102400 is an abundant number, since it is smaller than the sum of its proper divisors (1939212777600).

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

546878102400 is a wasteful number, since it uses less digits than its factorization.

546878102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 546878102400 in words is "five hundred forty-six billion, eight hundred seventy-eight million, one hundred two thousand, four hundred".