82374243840 has 640 divisors, whose sum is σ = 340003952640. Its totient is φ = 18513100800.

The previous prime is 82374243839. The next prime is 82374243851. The reversal of 82374243840 is 4834247328.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29512845 + ... + 29515635.

It is an arithmetic number, because the mean of its divisors is an integer number (531256176).

Almost surely, 2^82374243840 is an apocalyptic number.

82374243840 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 82374243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170001976320).

82374243840 is an abundant number, since it is smaller than the sum of its proper divisors (257629708800).

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

82374243840 is a wasteful number, since it uses less digits than its factorization.

82374243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 82374243840 in words is "eighty-two billion, three hundred seventy-four million, two hundred forty-three thousand, eight hundred forty".