94134800760 has 768 divisors, whose sum is σ = 385074708480. Its totient is φ = 17913139200.

The previous prime is 94134800717. The next prime is 94134800779. The reversal of 94134800760 is 6700843149.

It is a super-2 number, since 2×94134800760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252371934 + ... + 252372306.

It is an arithmetic number, because the mean of its divisors is an integer number (501399360).

Almost surely, 2^94134800760 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 94134800760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192537354240).

94134800760 is an abundant number, since it is smaller than the sum of its proper divisors (290939907720).

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

94134800760 is a wasteful number, since it uses less digits than its factorization.

94134800760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 94134800760 in words is "ninety-four billion, one hundred thirty-four million, eight hundred thousand, seven hundred sixty".