73847249280 has 576 divisors, whose sum is σ = 314106698880. Its totient is φ = 15885434880.

The previous prime is 73847249279. The next prime is 73847249291. The reversal of 73847249280 is 8294274837.

It is a happy number.

73847249280 is a `hidden beast` number, since 7 + 3 + 8 + 4 + 72 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4790385 + ... + 4805775.

It is an arithmetic number, because the mean of its divisors is an integer number (545324130).

Almost surely, 2^73847249280 is an apocalyptic number.

73847249280 is a gapful number since it is divisible by the number (70) 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 73847249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157053349440).

73847249280 is an abundant number, since it is smaller than the sum of its proper divisors (240259449600).

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

73847249280 is a wasteful number, since it uses less digits than its factorization.

73847249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15447 (or 15425 counting only the distinct ones).

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

The spelling of 73847249280 in words is "seventy-three billion, eight hundred forty-seven million, two hundred forty-nine thousand, two hundred eighty".