451078756800 has 672 divisors, whose sum is σ = 1791432007680. Its totient is φ = 97069363200.

The previous prime is 451078756759. The next prime is 451078756801. The reversal of 451078756800 is 8657870154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451078756801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106610685 + ... + 106614915.

It is an arithmetic number, because the mean of its divisors is an integer number (2665821440).

Almost surely, 2^451078756800 is an apocalyptic number.

451078756800 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 451078756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895716003840).

451078756800 is an abundant number, since it is smaller than the sum of its proper divisors (1340353250880).

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

451078756800 is a wasteful number, since it uses less digits than its factorization.

451078756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 451078756800 in words is "four hundred fifty-one billion, seventy-eight million, seven hundred fifty-six thousand, eight hundred".