82672424162692 has 144 divisors (see below), whose sum is σ = 190921976235648. Its totient is φ = 30494033326080.

The previous prime is 82672424162689. The next prime is 82672424162693. The reversal of 82672424162692 is 29626142427628.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82672424162692.

It is not an unprimeable number, because it can be changed into a prime (82672424162693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7583592 + ... + 14928352.

It is an arithmetic number, because the mean of its divisors is an integer number (1325847057192).

Almost surely, 2^{82672424162692} 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 82672424162692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95460988117824).

82672424162692 is an abundant number, since it is smaller than the sum of its proper divisors (108249552072956).

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

82672424162692 is a wasteful number, since it uses less digits than its factorization.

82672424162692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344926 (or 7344907 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 82672424162692 in words is "eighty-two trillion, six hundred seventy-two billion, four hundred twenty-four million, one hundred sixty-two thousand, six hundred ninety-two".