456672081600 has 504 divisors, whose sum is σ = 1936541953680. Its totient is φ = 104381706240.

The previous prime is 456672081589. The next prime is 456672081617. The reversal of 456672081600 is 6180276654.

456672081600 is a `hidden beast` number, since 4 + 566 + 7 + 2 + 0 + 81 + 6 + 0 + 0 = 666.

456672081600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×456672081600² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2008932 + ... + 2224668.

Almost surely, 2^456672081600 is an apocalyptic number.

456672081600 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 456672081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968270976840).

456672081600 is an abundant number, since it is smaller than the sum of its proper divisors (1479869872080).

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

456672081600 is a wasteful number, since it uses less digits than its factorization.

456672081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215782 (or 215754 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 456672081600 in words is "four hundred fifty-six billion, six hundred seventy-two million, eighty-one thousand, six hundred".