83401347600 has 240 divisors, whose sum is σ = 297063397440. Its totient is φ = 22224153600.

The previous prime is 83401347593. The next prime is 83401347613. The reversal of 83401347600 is 674310438.

83401347600 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 1 + 3 + 47 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25605172 + ... + 25608428.

It is an arithmetic number, because the mean of its divisors is an integer number (1237764156).

Almost surely, 2^83401347600 is an apocalyptic number.

83401347600 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 83401347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148531698720).

83401347600 is an abundant number, since it is smaller than the sum of its proper divisors (213662049840).

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

83401347600 is a wasteful number, since it uses less digits than its factorization.

83401347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 83401347600 in words is "eighty-three billion, four hundred one million, three hundred forty-seven thousand, six hundred".