82470792983040 has 960 divisors, whose sum is σ = 362133106283520. Its totient is φ = 16846312734720.

The previous prime is 82470792983023. The next prime is 82470792983071. The reversal of 82470792983040 is 4038929707428.

82470792983040 is a `hidden beast` number, since 8 + 2 + 470 + 7 + 9 + 2 + 98 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104276767 + ... + 105064673.

It is an arithmetic number, because the mean of its divisors is an integer number (377221985712).

Almost surely, 2^{82470792983040} is an apocalyptic number.

82470792983040 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 82470792983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181066553141760).

82470792983040 is an abundant number, since it is smaller than the sum of its proper divisors (279662313300480).

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

82470792983040 is a wasteful number, since it uses less digits than its factorization.

82470792983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788013 (or 787994 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 82470792983040 in words is "eighty-two trillion, four hundred seventy billion, seven hundred ninety-two million, nine hundred eighty-three thousand, forty".