4766538776832 has 1296 divisors, whose sum is σ = 17544594856320. Its totient is φ = 1270337789952.

The previous prime is 4766538776819. The next prime is 4766538776863. The reversal of 4766538776832 is 2386778356674.

It is a happy number.

4766538776832 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 538 + 7 + 7 + 6 + 83 + 2 = 666.

It is a super-2 number, since 2×4766538776832² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17207721078 + ... + 17207721354.

Almost surely, 2^{4766538776832} is an apocalyptic number.

4766538776832 is a gapful number since it is divisible by the number (42) 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 4766538776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772297428160).

4766538776832 is an abundant number, since it is smaller than the sum of its proper divisors (12778056079488).

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

4766538776832 is a wasteful number, since it uses less digits than its factorization.

4766538776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 359 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 4766538776832 in words is "four trillion, seven hundred sixty-six billion, five hundred thirty-eight million, seven hundred seventy-six thousand, eight hundred thirty-two".