808377866496 has 216 divisors, whose sum is σ = 2345525320320. Its totient is φ = 267757129728.

The previous prime is 808377866449. The next prime is 808377866521. The reversal of 808377866496 is 694668773808.

808377866496 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 7 + 78 + 66 + 496 = 666.

It is a super-3 number, since 3×808377866496³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 267407641 + ... + 267410663.

It is an arithmetic number, because the mean of its divisors is an integer number (10858913520).

Almost surely, 2^808377866496 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 808377866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172762660160).

808377866496 is an abundant number, since it is smaller than the sum of its proper divisors (1537147453824).

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

808377866496 is a wasteful number, since it uses less digits than its factorization.

808377866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 808377866496 in words is "eight hundred eight billion, three hundred seventy-seven million, eight hundred sixty-six thousand, four hundred ninety-six".