65427468876 has 192 divisors, whose sum is σ = 212050944000. Its totient is φ = 16948491840.

The previous prime is 65427468871. The next prime is 65427468913. The reversal of 65427468876 is 67886472456.

65427468876 is a `hidden beast` number, since 6 + 542 + 7 + 4 + 6 + 8 + 87 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65427468871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3141385 + ... + 3162143.

It is an arithmetic number, because the mean of its divisors is an integer number (1104432000).

Almost surely, 2^65427468876 is an apocalyptic number.

65427468876 is a gapful number since it is divisible by the number (66) 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 65427468876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106025472000).

65427468876 is an abundant number, since it is smaller than the sum of its proper divisors (146623475124).

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

65427468876 is a wasteful number, since it uses less digits than its factorization.

65427468876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21161 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 65427468876 in words is "sixty-five billion, four hundred twenty-seven million, four hundred sixty-eight thousand, eight hundred seventy-six".