82036624320 has 336 divisors, whose sum is σ = 332887246848. Its totient is φ = 18146211840.

The previous prime is 82036624301. The next prime is 82036624337. The reversal of 82036624320 is 2342663028.

82036624320 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 6 + 624 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 559327 + ... + 690593.

Almost surely, 2^82036624320 is an apocalyptic number.

82036624320 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 82036624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166443623424).

82036624320 is an abundant number, since it is smaller than the sum of its proper divisors (250850622528).

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

82036624320 is a wasteful number, since it uses less digits than its factorization.

82036624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131328 (or 131315 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 82036624320 in words is "eighty-two billion, thirty-six million, six hundred twenty-four thousand, three hundred twenty".