82622024640 has 336 divisors, whose sum is σ = 288643563936. Its totient is φ = 21688934400.

The previous prime is 82622024603. The next prime is 82622024659. The reversal of 82622024640 is 4642022628.

82622024640 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 2 + 0 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×82622024640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82622024595 and 82622024604.

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, 100635430 + ... + 100636250.

It is an arithmetic number, because the mean of its divisors is an integer number (859058226).

Almost surely, 2^82622024640 is an apocalyptic number.

82622024640 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 82622024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144321781968).

82622024640 is an abundant number, since it is smaller than the sum of its proper divisors (206021539296).

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

82622024640 is a wasteful number, since it uses less digits than its factorization.

82622024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 826220 and 24640, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 82622024640 in words is "eighty-two billion, six hundred twenty-two million, twenty-four thousand, six hundred forty".