95343907063680 has 576 divisors, whose sum is σ = 373559596824960. Its totient is φ = 22368066969600.

The previous prime is 95343907063637. The next prime is 95343907063693. The reversal of 95343907063680 is 8636070934359.

95343907063680 is a `hidden beast` number, since 9 + 5 + 343 + 90 + 70 + 63 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×95343907063680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 19399314 + ... + 23812206.

It is an arithmetic number, because the mean of its divisors is an integer number (648540966710).

Almost surely, 2^{95343907063680} is an apocalyptic number.

95343907063680 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 95343907063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186779798412480).

95343907063680 is an abundant number, since it is smaller than the sum of its proper divisors (278215689761280).

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

95343907063680 is a wasteful number, since it uses less digits than its factorization.

95343907063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412971 (or 4412945 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 95343907063680 in words is "ninety-five trillion, three hundred forty-three billion, nine hundred seven million, sixty-three thousand, six hundred eighty".