82626001920 has 1584 divisors, whose sum is σ = 377143865280. Its totient is φ = 16349921280.

The previous prime is 82626001907. The next prime is 82626001937. The reversal of 82626001920 is 2910062628.

It is a happy number.

82626001920 is a `hidden beast` number, since 8 + 2 + 626 + 0 + 0 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 1131863004 + ... + 1131863076.

Almost surely, 2^82626001920 is an apocalyptic number.

82626001920 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 82626001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188571932640).

82626001920 is an abundant number, since it is smaller than the sum of its proper divisors (294517863360).

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

82626001920 is a wasteful number, since it uses less digits than its factorization.

82626001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 82626001920 in words is "eighty-two billion, six hundred twenty-six million, one thousand, nine hundred twenty".