74187048960 has 384 divisors, whose sum is σ = 265607596800. Its totient is φ = 19641139200.

The previous prime is 74187048919. The next prime is 74187048983. The reversal of 74187048960 is 6984078147.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 74187048897 and 74187048906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41747592 + ... + 41749368.

It is an arithmetic number, because the mean of its divisors is an integer number (691686450).

Almost surely, 2^74187048960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74187048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132803798400).

74187048960 is an abundant number, since it is smaller than the sum of its proper divisors (191420547840).

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

74187048960 is a wasteful number, since it uses less digits than its factorization.

74187048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 74187048960 in words is "seventy-four billion, one hundred eighty-seven million, forty-eight thousand, nine hundred sixty".