451963508732640 has 384 divisors, whose sum is σ = 1587614255377920. Its totient is φ = 120086410788864.

The previous prime is 451963508732573. The next prime is 451963508732717. The reversal of 451963508732640 is 46237805369154.

451963508732640 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 63 + 508 + 7 + 3 + 2 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651076827 + ... + 3651200613.

It is an arithmetic number, because the mean of its divisors is an integer number (4134412123380).

It is a 2-persistent number, because it is pandigital, and so is 2⋅451963508732640 = 903927017465280, but 3⋅451963508732640 = 1355890526197920 is not.

Almost surely, 2^{451963508732640} is an apocalyptic number.

451963508732640 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 451963508732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793807127688960).

451963508732640 is an abundant number, since it is smaller than the sum of its proper divisors (1135650746645280).

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

451963508732640 is a wasteful number, since it uses less digits than its factorization.

451963508732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126871 (or 126857 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 451963508732640 in words is "four hundred fifty-one trillion, nine hundred sixty-three billion, five hundred eight million, seven hundred thirty-two thousand, six hundred forty".