83961904320 has 1008 divisors, whose sum is σ = 356344971840. Its totient is φ = 18435465216.

The previous prime is 83961904261. The next prime is 83961904331. The reversal of 83961904320 is 2340916938.

It is a happy number.

83961904320 is a `hidden beast` number, since 8 + 3 + 9 + 619 + 0 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 426202462 + ... + 426202658.

Almost surely, 2^83961904320 is an apocalyptic number.

83961904320 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 83961904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178172485920).

83961904320 is an abundant number, since it is smaller than the sum of its proper divisors (272383067520).

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

83961904320 is an equidigital number, since it uses as much as digits as its factorization.

83961904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 83961904320 in words is "eighty-three billion, nine hundred sixty-one million, nine hundred four thousand, three hundred twenty".