64048551840 has 576 divisors, whose sum is σ = 269790393600. Its totient is φ = 13474086912.

The previous prime is 64048551821. The next prime is 64048551857. The reversal of 64048551840 is 4815584046.

It is a happy number.

64048551840 is a `hidden beast` number, since 6 + 40 + 485 + 51 + 84 + 0 = 666.

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

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, 74561331 + ... + 74562189.

It is an arithmetic number, because the mean of its divisors is an integer number (468386100).

Almost surely, 2^64048551840 is an apocalyptic number.

64048551840 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 64048551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134895196800).

64048551840 is an abundant number, since it is smaller than the sum of its proper divisors (205741841760).

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

64048551840 is a wasteful number, since it uses less digits than its factorization.

64048551840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 64048551840 in words is "sixty-four billion, forty-eight million, five hundred fifty-one thousand, eight hundred forty".