83417540640 has 192 divisors, whose sum is σ = 304786105344. Its totient is φ = 18782235648.

The previous prime is 83417540629. The next prime is 83417540659. The reversal of 83417540640 is 4604571438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 83417540592 and 83417540601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39847 + ... + 410393.

It is an arithmetic number, because the mean of its divisors is an integer number (1587427632).

Almost surely, 2^83417540640 is an apocalyptic number.

83417540640 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 83417540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152393052672).

83417540640 is an abundant number, since it is smaller than the sum of its proper divisors (221368564704).

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

83417540640 is a wasteful number, since it uses less digits than its factorization.

83417540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370639 (or 370631 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 83417540640 in words is "eighty-three billion, four hundred seventeen million, five hundred forty thousand, six hundred forty".