64027913040 has 720 divisors, whose sum is σ = 279413866368. Its totient is φ = 12793448448.

The previous prime is 64027913023. The next prime is 64027913071. The reversal of 64027913040 is 4031972046.

64027913040 is a `hidden beast` number, since 640 + 2 + 7 + 9 + 1 + 3 + 0 + 4 + 0 = 666.

64027913040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64027912986 and 64027913004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23651367 + ... + 23654073.

Almost surely, 2^64027913040 is an apocalyptic number.

64027913040 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 64027913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139706933184).

64027913040 is an abundant number, since it is smaller than the sum of its proper divisors (215385953328).

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

64027913040 is a wasteful number, since it uses less digits than its factorization.

64027913040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 64027913040 in words is "sixty-four billion, twenty-seven million, nine hundred thirteen thousand, forty".