451350766080 has 960 divisors, whose sum is σ = 1698731274240. Its totient is φ = 114709561344.

The previous prime is 451350766039. The next prime is 451350766081. The reversal of 451350766080 is 80667053154.

451350766080 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 507 + 6 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (451350766081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2291120542 + ... + 2291120738.

It is an arithmetic number, because the mean of its divisors is an integer number (1769511744).

Almost surely, 2^451350766080 is an apocalyptic number.

451350766080 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 451350766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849365637120).

451350766080 is an abundant number, since it is smaller than the sum of its proper divisors (1247380508160).

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

451350766080 is a wasteful number, since it uses less digits than its factorization.

451350766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 451350766080 in words is "four hundred fifty-one billion, three hundred fifty million, seven hundred sixty-six thousand, eighty".