546150758400 has 1728 divisors, whose sum is σ = 2315574293760. Its totient is φ = 121739673600.

The previous prime is 546150758399. The next prime is 546150758401. The reversal of 546150758400 is 4857051645.

546150758400 is a `hidden beast` number, since 5 + 4 + 61 + 5 + 0 + 7 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (546150758399) and next prime (546150758401).

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 (546150758401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3156940714 + ... + 3156940886.

It is an arithmetic number, because the mean of its divisors is an integer number (1340031420).

Almost surely, 2^546150758400 is an apocalyptic number.

546150758400 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 546150758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157787146880).

546150758400 is an abundant number, since it is smaller than the sum of its proper divisors (1769423535360).

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

546150758400 is a wasteful number, since it uses less digits than its factorization.

546150758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 546150758400 in words is "five hundred forty-six billion, one hundred fifty million, seven hundred fifty-eight thousand, four hundred".