82694903040 has 432 divisors, whose sum is σ = 295121386560. Its totient is φ = 21366374400.

The previous prime is 82694903033. The next prime is 82694903077. The reversal of 82694903040 is 4030949628.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 68854440 + ... + 68855640.

Almost surely, 2^82694903040 is an apocalyptic number.

82694903040 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 82694903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147560693280).

82694903040 is an abundant number, since it is smaller than the sum of its proper divisors (212426483520).

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

82694903040 is a wasteful number, since it uses less digits than its factorization.

82694903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 82694903040 in words is "eighty-two billion, six hundred ninety-four million, nine hundred three thousand, forty".