95079905640 has 288 divisors, whose sum is σ = 329342008320. Its totient is φ = 23783632128.

The previous prime is 95079905633. The next prime is 95079905651. The reversal of 95079905640 is 4650997059.

95079905640 is a `hidden beast` number, since 9 + 5 + 0 + 79 + 9 + 0 + 564 + 0 = 666.

95079905640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×95079905640² (a number of 23 digits) contains 22 as substring.

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, 13382329 + ... + 13389431.

It is an arithmetic number, because the mean of its divisors is an integer number (1143548640).

Almost surely, 2^95079905640 is an apocalyptic number.

95079905640 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 95079905640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164671004160).

95079905640 is an abundant number, since it is smaller than the sum of its proper divisors (234262102680).

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

95079905640 is a wasteful number, since it uses less digits than its factorization.

95079905640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 95079905640 in words is "ninety-five billion, seventy-nine million, nine hundred five thousand, six hundred forty".