83749740480 has 448 divisors, whose sum is σ = 341473536000. Its totient is φ = 18926493696.

The previous prime is 83749740323. The next prime is 83749740517. The reversal of 83749740480 is 8404794738.

83749740480 is a `hidden beast` number, since 8 + 3 + 74 + 97 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5374941 + ... + 5390499.

Almost surely, 2^83749740480 is an apocalyptic number.

83749740480 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 83749740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170736768000).

83749740480 is an abundant number, since it is smaller than the sum of its proper divisors (257723795520).

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

83749740480 is a wasteful number, since it uses less digits than its factorization.

83749740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83749740480 in words is "eighty-three billion, seven hundred forty-nine million, seven hundred forty thousand, four hundred eighty".