457540672680000 has 5600 divisors, whose sum is σ = 2157573771386880. Its totient is φ = 93274675200000.

The previous prime is 457540672679963. The next prime is 457540672680011. The reversal of 457540672680000 is 86276045754.

It is a happy number.

457540672680000 is a `hidden beast` number, since 4 + 575 + 4 + 0 + 6 + 7 + 2 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 1914396119881 + ... + 1914396120119.

Almost surely, 2^{457540672680000} is an apocalyptic number.

457540672680000 is a gapful number since it is divisible by the number (40) 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 457540672680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078786885693440).

457540672680000 is an abundant number, since it is smaller than the sum of its proper divisors (1700033098706880).

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

457540672680000 is a wasteful number, since it uses less digits than its factorization.

457540672680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 457540672680000 in words is "four hundred fifty-seven trillion, five hundred forty billion, six hundred seventy-two million, six hundred eighty thousand".