372405406464 has 1152 divisors, whose sum is σ = 1420269312000. Its totient is φ = 95591301120.

The previous prime is 372405406381. The next prime is 372405406481. The reversal of 372405406464 is 464604504273.

372405406464 is a `hidden beast` number, since 3 + 7 + 2 + 40 + 540 + 6 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1325286004 + ... + 1325286284.

Almost surely, 2^372405406464 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 372405406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710134656000).

372405406464 is an abundant number, since it is smaller than the sum of its proper divisors (1047863905536).

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

372405406464 is a wasteful number, since it uses less digits than its factorization.

372405406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 372405406464 in words is "three hundred seventy-two billion, four hundred five million, four hundred six thousand, four hundred sixty-four".