766275541416 has 1024 divisors, whose sum is σ = 2921785344000. Its totient is φ = 179995115520.

The previous prime is 766275541411. The next prime is 766275541417. The reversal of 766275541416 is 614145572667.

766275541416 is a `hidden beast` number, since 7 + 6 + 62 + 7 + 554 + 14 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (766275541411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 931075581 + ... + 931076403.

It is an arithmetic number, because the mean of its divisors is an integer number (2853306000).

Almost surely, 2^766275541416 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 766275541416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460892672000).

766275541416 is an abundant number, since it is smaller than the sum of its proper divisors (2155509802584).

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

766275541416 is a wasteful number, since it uses less digits than its factorization.

766275541416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 766275541416 in words is "seven hundred sixty-six billion, two hundred seventy-five million, five hundred forty-one thousand, four hundred sixteen".