83419824610640 has 40 divisors (see below), whose sum is σ = 221658391109760. Its totient is φ = 28601082723456.

The previous prime is 83419824610621. The next prime is 83419824610679. The reversal of 83419824610640 is 4601642891438.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74481985700 + ... + 74481986819.

It is an arithmetic number, because the mean of its divisors is an integer number (5541459777744).

Almost surely, 2^{83419824610640} is an apocalyptic number.

83419824610640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83419824610640 is an abundant number, since it is smaller than the sum of its proper divisors (138238566499120).

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

83419824610640 is a wasteful number, since it uses less digits than its factorization.

83419824610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148963972539 (or 148963972533 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 83419824610640 in words is "eighty-three trillion, four hundred nineteen billion, eight hundred twenty-four million, six hundred ten thousand, six hundred forty".