486863213760 has 2688 divisors, whose sum is σ = 2324459225088. Its totient is φ = 94058496000.

The previous prime is 486863213737. The next prime is 486863213783. The reversal of 486863213760 is 67312368684.

486863213760 is a `hidden beast` number, since 486 + 86 + 3 + 2 + 13 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486863213737) and next prime (486863213783).

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

It is a junction number, because it is equal to n+sod(n) for n = 486863213697 and 486863213706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7981364130 + ... + 7981364190.

It is an arithmetic number, because the mean of its divisors is an integer number (864754176).

Almost surely, 2^486863213760 is an apocalyptic number.

486863213760 is a gapful number since it is divisible by the number (40) 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 486863213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162229612544).

486863213760 is an abundant number, since it is smaller than the sum of its proper divisors (1837596011328).

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

486863213760 is a wasteful number, since it uses less digits than its factorization.

486863213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 486863213760 in words is "four hundred eighty-six billion, eight hundred sixty-three million, two hundred thirteen thousand, seven hundred sixty".