81176463360 has 1152 divisors, whose sum is σ = 328404585600. Its totient is φ = 19110297600.

The previous prime is 81176463307. The next prime is 81176463391. The reversal of 81176463360 is 6336467118.

81176463360 is a `hidden beast` number, since 8 + 1 + 1 + 7 + 6 + 4 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803727310 + ... + 803727410.

It is an arithmetic number, because the mean of its divisors is an integer number (285073425).

Almost surely, 2^81176463360 is an apocalyptic number.

81176463360 is a gapful number since it is divisible by the number (80) 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 81176463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164202292800).

81176463360 is an abundant number, since it is smaller than the sum of its proper divisors (247228122240).

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

81176463360 is a wasteful number, since it uses less digits than its factorization.

81176463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 81176463360 in words is "eighty-one billion, one hundred seventy-six million, four hundred sixty-three thousand, three hundred sixty".