486760829563008 has 6912 divisors, whose sum is σ = 2157725287710720. Its totient is φ = 106154418585600.

The previous prime is 486760829562991. The next prime is 486760829563013. The reversal of 486760829563008 is 800365928067684.

486760829563008 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 608 + 2 + 9 + 5 + 6 + 3 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×486760829563008² (a number of 30 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 863 ways as a sum of consecutive naturals, for example, 3832762437441 + ... + 3832762437567.

Almost surely, 2^{486760829563008} is an apocalyptic number.

486760829563008 is a gapful number since it is divisible by the number (48) 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 486760829563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078862643855360).

486760829563008 is an abundant number, since it is smaller than the sum of its proper divisors (1670964458147712).

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

486760829563008 is a wasteful number, since it uses less digits than its factorization.

486760829563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 486760829563008 in words is "four hundred eighty-six trillion, seven hundred sixty billion, eight hundred twenty-nine million, five hundred sixty-three thousand, eight".