95074836480 has 896 divisors, whose sum is σ = 386429097600. Its totient is φ = 21969764352.

The previous prime is 95074836449. The next prime is 95074836503. The reversal of 95074836480 is 8463847059.

95074836480 is a `hidden beast` number, since 95 + 0 + 7 + 48 + 36 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244408126 + ... + 244408514.

It is an arithmetic number, because the mean of its divisors is an integer number (431282475).

Almost surely, 2^95074836480 is an apocalyptic number.

95074836480 is a gapful number since it is divisible by the number (90) 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 95074836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193214548800).

95074836480 is an abundant number, since it is smaller than the sum of its proper divisors (291354261120).

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

95074836480 is a wasteful number, since it uses less digits than its factorization.

95074836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 95074836480 in words is "ninety-five billion, seventy-four million, eight hundred thirty-six thousand, four hundred eighty".