82633770000 has 750 divisors, whose sum is σ = 318375570018. Its totient is φ = 20680704000.

The previous prime is 82633769989. The next prime is 82633770019. The reversal of 82633770000 is 7733628.

It can be written as a sum of positive squares in 15 ways, for example, as 72531107856 + 10102662144 = 269316^2 + 100512^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 234089824 + ... + 234090176.

Almost surely, 2^82633770000 is an apocalyptic number.

82633770000 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 82633770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159187785009).

82633770000 is an abundant number, since it is smaller than the sum of its proper divisors (235741800018).

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

82633770000 is a wasteful number, since it uses less digits than its factorization.

82633770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 82633770000 in words is "eighty-two billion, six hundred thirty-three million, seven hundred seventy thousand".