546457632000 has 1152 divisors, whose sum is σ = 2207253135360. Its totient is φ = 117050572800.

The previous prime is 546457631947. The next prime is 546457632101. The reversal of 546457632000 is 236754645.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1621535832 + ... + 1621536168.

Almost surely, 2^546457632000 is an apocalyptic number.

546457632000 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 546457632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103626567680).

546457632000 is an abundant number, since it is smaller than the sum of its proper divisors (1660795503360).

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

546457632000 is a wasteful number, since it uses less digits than its factorization.

546457632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 546457632000 in words is "five hundred forty-six billion, four hundred fifty-seven million, six hundred thirty-two thousand".