64867870380600 has 1152 divisors, whose sum is σ = 261536310604800. Its totient is φ = 14734621440000.

The previous prime is 64867870380517. The next prime is 64867870380611. The reversal of 64867870380600 is 608307876846.

64867870380600 is a `hidden beast` number, since 6 + 486 + 7 + 8 + 70 + 3 + 80 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40977807409 + ... + 40977808991.

It is an arithmetic number, because the mean of its divisors is an integer number (227028047400).

Almost surely, 2^{64867870380600} is an apocalyptic number.

64867870380600 is a gapful number since it is divisible by the number (60) 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 64867870380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130768155302400).

64867870380600 is an abundant number, since it is smaller than the sum of its proper divisors (196668440224200).

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

64867870380600 is a wasteful number, since it uses less digits than its factorization.

64867870380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 64867870380600 in words is "sixty-four trillion, eight hundred sixty-seven billion, eight hundred seventy million, three hundred eighty thousand, six hundred".