486762670080 has 1152 divisors, whose sum is σ = 1908610179840. Its totient is φ = 118483845120.

The previous prime is 486762670067. The next prime is 486762670099. The reversal of 486762670080 is 80076267684.

486762670080 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 626 + 7 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 486762669999 and 486762670026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565153125 + ... + 1565153435.

It is an arithmetic number, because the mean of its divisors is an integer number (1656779670).

Almost surely, 2^486762670080 is an apocalyptic number.

486762670080 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 486762670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954305089920).

486762670080 is an abundant number, since it is smaller than the sum of its proper divisors (1421847509760).

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

486762670080 is a wasteful number, since it uses less digits than its factorization.

486762670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 486762670080 in words is "four hundred eighty-six billion, seven hundred sixty-two million, six hundred seventy thousand, eighty".