95279120640 has 720 divisors, whose sum is σ = 391583142720. Its totient is φ = 21877309440.

The previous prime is 95279120639. The next prime is 95279120687. The reversal of 95279120640 is 4602197259.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×95279120640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 21666922 + ... + 21671318.

It is an arithmetic number, because the mean of its divisors is an integer number (543865476).

Almost surely, 2^95279120640 is an apocalyptic number.

95279120640 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 95279120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195791571360).

95279120640 is an abundant number, since it is smaller than the sum of its proper divisors (296304022080).

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

95279120640 is a wasteful number, since it uses less digits than its factorization.

95279120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 95279120640 in words is "ninety-five billion, two hundred seventy-nine million, one hundred twenty thousand, six hundred forty".