82174279680 has 560 divisors, whose sum is σ = 302568413400. Its totient is φ = 21403533312.

The previous prime is 82174279661. The next prime is 82174279697. The reversal of 82174279680 is 8697247128.

It is a happy number.

It is a super-2 number, since 2×82174279680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1911029739 + ... + 1911029781.

Almost surely, 2^82174279680 is an apocalyptic number.

82174279680 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 82174279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151284206700).

82174279680 is an abundant number, since it is smaller than the sum of its proper divisors (220394133720).

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

82174279680 is an frugal number, since it uses more digits than its factorization.

82174279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82174279680 in words is "eighty-two billion, one hundred seventy-four million, two hundred seventy-nine thousand, six hundred eighty".