64048510493600 has 288 divisors, whose sum is σ = 166636422711360. Its totient is φ = 23955136266240.

The previous prime is 64048510493599. The next prime is 64048510493623. The reversal of 64048510493600 is 639401584046.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8842811579 + ... + 8842818821.

It is an arithmetic number, because the mean of its divisors is an integer number (578598689970).

Almost surely, 2^{64048510493600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64048510493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83318211355680).

64048510493600 is an abundant number, since it is smaller than the sum of its proper divisors (102587912217760).

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

64048510493600 is a wasteful number, since it uses less digits than its factorization.

64048510493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 64048510493600 in words is "sixty-four trillion, forty-eight billion, five hundred ten million, four hundred ninety-three thousand, six hundred".