82640214037360 has 160 divisors (see below), whose sum is σ = 221751971251200. Its totient is φ = 28054500194304.

The previous prime is 82640214037351. The next prime is 82640214037411. The reversal of 82640214037360 is 6373041204628.

It is a super-2 number, since 2×82640214037360² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82640214037360.

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, 397830484 + ... + 398038156.

It is an arithmetic number, because the mean of its divisors is an integer number (1385949820320).

Almost surely, 2^{82640214037360} is an apocalyptic number.

82640214037360 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 82640214037360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110875985625600).

82640214037360 is an abundant number, since it is smaller than the sum of its proper divisors (139111757213840).

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

82640214037360 is a wasteful number, since it uses less digits than its factorization.

82640214037360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214695 (or 214689 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 82640214037360 in words is "eighty-two trillion, six hundred forty billion, two hundred fourteen million, thirty-seven thousand, three hundred sixty".