81670776480 has 576 divisors, whose sum is σ = 301032426240. Its totient is φ = 20101644288.

The previous prime is 81670776433. The next prime is 81670776493. The reversal of 81670776480 is 8467707618.

It is a super-2 number, since 2×81670776480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205719642 + ... + 205720038.

It is an arithmetic number, because the mean of its divisors is an integer number (522625740).

Almost surely, 2^81670776480 is an apocalyptic number.

81670776480 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 81670776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150516213120).

81670776480 is an abundant number, since it is smaller than the sum of its proper divisors (219361649760).

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

81670776480 is a wasteful number, since it uses less digits than its factorization.

81670776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 81670776480 in words is "eighty-one billion, six hundred seventy million, seven hundred seventy-six thousand, four hundred eighty".