64949133312000 has 3264 divisors, whose sum is σ = 285801049497600. Its totient is φ = 14409164390400.

The previous prime is 64949133311981. The next prime is 64949133312001. The reversal of 64949133312000 is 21333194946.

It is a happy number.

64949133312000 is a `hidden beast` number, since 6 + 4 + 9 + 491 + 3 + 33 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64949133312001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 822140927961 + ... + 822140928039.

Almost surely, 2^{64949133312000} is an apocalyptic number.

64949133312000 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 64949133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142900524748800).

64949133312000 is an abundant number, since it is smaller than the sum of its proper divisors (220851916185600).

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

64949133312000 is an frugal number, since it uses more digits than its factorization.

64949133312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 64949133312000 in words is "sixty-four trillion, nine hundred forty-nine billion, one hundred thirty-three million, three hundred twelve thousand".