95167764386640 has 2240 divisors, whose sum is σ = 402897732894720. Its totient is φ = 20632402944000.

The previous prime is 95167764386627. The next prime is 95167764386683. The reversal of 95167764386640 is 4668346776159.

95167764386640 is a `hidden beast` number, since 9 + 5 + 1 + 67 + 76 + 438 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 15492063409 + ... + 15492069551.

It is an arithmetic number, because the mean of its divisors is an integer number (179865059328).

Almost surely, 2^{95167764386640} is an apocalyptic number.

95167764386640 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 95167764386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201448866447360).

95167764386640 is an abundant number, since it is smaller than the sum of its proper divisors (307729968508080).

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

95167764386640 is a wasteful number, since it uses less digits than its factorization.

95167764386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 95167764386640 in words is "ninety-five trillion, one hundred sixty-seven billion, seven hundred sixty-four million, three hundred eighty-six thousand, six hundred forty".