486968677600 has 288 divisors, whose sum is σ = 1327977504000. Its totient is φ = 173513134080.

The previous prime is 486968677567. The next prime is 486968677603. The reversal of 486968677600 is 6776869684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486968677603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20614596 + ... + 20638204.

It is an arithmetic number, because the mean of its divisors is an integer number (4611033000).

Almost surely, 2^486968677600 is an apocalyptic number.

486968677600 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 486968677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663988752000).

486968677600 is an abundant number, since it is smaller than the sum of its proper divisors (841008826400).

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

486968677600 is a wasteful number, since it uses less digits than its factorization.

486968677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23730 (or 23717 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 486968677600 in words is "four hundred eighty-six billion, nine hundred sixty-eight million, six hundred seventy-seven thousand, six hundred".