82579302973440 has 2176 divisors, whose sum is σ = 365072790297600. Its totient is φ = 17245132554240.

The previous prime is 82579302973439. The next prime is 82579302973463. The reversal of 82579302973440 is 4437920397528.

82579302973440 is a `hidden beast` number, since 8 + 2 + 5 + 79 + 30 + 2 + 97 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87756963370 + ... + 87756964310.

Almost surely, 2^{82579302973440} is an apocalyptic number.

82579302973440 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 82579302973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182536395148800).

82579302973440 is an abundant number, since it is smaller than the sum of its proper divisors (282493487324160).

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

82579302973440 is a wasteful number, since it uses less digits than its factorization.

82579302973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 82579302973440 in words is "eighty-two trillion, five hundred seventy-nine billion, three hundred two million, nine hundred seventy-three thousand, four hundred forty".