64607778144 has 768 divisors, whose sum is σ = 248484096000. Its totient is φ = 15855575040.

The previous prime is 64607778139. The next prime is 64607778173. The reversal of 64607778144 is 44187770646.

64607778144 is a `hidden beast` number, since 6 + 460 + 77 + 78 + 1 + 44 = 666.

64607778144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91124862 + ... + 91125570.

It is an arithmetic number, because the mean of its divisors is an integer number (323547000).

Almost surely, 2^64607778144 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 64607778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124242048000).

64607778144 is an abundant number, since it is smaller than the sum of its proper divisors (183876317856).

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

64607778144 is a wasteful number, since it uses less digits than its factorization.

64607778144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 64607778144 in words is "sixty-four billion, six hundred seven million, seven hundred seventy-eight thousand, one hundred forty-four".