451072279680 has 256 divisors, whose sum is σ = 1581473116800. Its totient is φ = 109350236160.

The previous prime is 451072279667. The next prime is 451072279711. The reversal of 451072279680 is 86972270154.

It is a happy number.

It is a super-3 number, since 3×451072279680³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467266 + ... + 2643774.

Almost surely, 2^451072279680 is an apocalyptic number.

451072279680 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 451072279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790736558400).

451072279680 is an abundant number, since it is smaller than the sum of its proper divisors (1130400837120).

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

451072279680 is a wasteful number, since it uses less digits than its factorization.

451072279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176564 (or 176530 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 451072279680 in words is "four hundred fifty-one billion, seventy-two million, two hundred seventy-nine thousand, six hundred eighty".