806467952640 has 448 divisors, whose sum is σ = 2960502990336. Its totient is φ = 183628726272.

The previous prime is 806467952629. The next prime is 806467952671. The reversal of 806467952640 is 46259764608.

It is a tau number, because it is divible by the number of its divisors (448).

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, 243423624 + ... + 243426936.

Almost surely, 2^806467952640 is an apocalyptic number.

806467952640 is a gapful number since it is divisible by the number (80) 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 806467952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480251495168).

806467952640 is an abundant number, since it is smaller than the sum of its proper divisors (2154035037696).

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

806467952640 is a wasteful number, since it uses less digits than its factorization.

806467952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 806467952640 in words is "eight hundred six billion, four hundred sixty-seven million, nine hundred fifty-two thousand, six hundred forty".