451376978976 has 864 divisors, whose sum is σ = 1760678599680. Its totient is φ = 111039413760.

The previous prime is 451376978971. The next prime is 451376978999. The reversal of 451376978976 is 679879673154.

It is a happy number.

451376978976 is a `hidden beast` number, since 451 + 3 + 7 + 6 + 97 + 89 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (451376978971) 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 143 ways as a sum of consecutive naturals, for example, 125137365 + ... + 125140971.

Almost surely, 2^451376978976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451376978976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880339299840).

451376978976 is an abundant number, since it is smaller than the sum of its proper divisors (1309301620704).

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

451376978976 is a wasteful number, since it uses less digits than its factorization.

451376978976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3649 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 451376978976 in words is "four hundred fifty-one billion, three hundred seventy-six million, nine hundred seventy-eight thousand, nine hundred seventy-six".