807546642432 has 448 divisors, whose sum is σ = 2323670353920. Its totient is φ = 248841764864.

The previous prime is 807546642401. The next prime is 807546642449. The reversal of 807546642432 is 234246645708.

It is a super-3 number, since 3×807546642432³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 3002031994 + ... + 3002032262.

Almost surely, 2^807546642432 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 807546642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161835176960).

807546642432 is an abundant number, since it is smaller than the sum of its proper divisors (1516123711488).

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

807546642432 is a wasteful number, since it uses less digits than its factorization.

807546642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 807546642432 in words is "eight hundred seven billion, five hundred forty-six million, six hundred forty-two thousand, four hundred thirty-two".