95407321968 has 240 divisors, whose sum is σ = 309881594880. Its totient is φ = 26838107136.

The previous prime is 95407321883. The next prime is 95407321979. The reversal of 95407321968 is 86912370459.

95407321968 is a `hidden beast` number, since 9 + 540 + 7 + 3 + 2 + 1 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72332413 + ... + 72333731.

It is an arithmetic number, because the mean of its divisors is an integer number (1291173312).

It is a 1-persistent number, because it is pandigital, but 2⋅95407321968 = 190814643936 is not.

Almost surely, 2^95407321968 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 95407321968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154940797440).

95407321968 is an abundant number, since it is smaller than the sum of its proper divisors (214474272912).

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

95407321968 is a wasteful number, since it uses less digits than its factorization.

95407321968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 95407321968 in words is "ninety-five billion, four hundred seven million, three hundred twenty-one thousand, nine hundred sixty-eight".