64654511040 has 560 divisors, whose sum is σ = 268987901952. Its totient is φ = 14432753664.

The previous prime is 64654510957. The next prime is 64654511041. The reversal of 64654511040 is 4011545646.

64654511040 is a `hidden beast` number, since 6 + 4 + 6 + 545 + 1 + 104 + 0 = 666.

64654511040 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 (560).

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 = 64654510986 and 64654511004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64654511041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7797777 + ... + 7806063.

Almost surely, 2^64654511040 is an apocalyptic number.

64654511040 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 64654511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134493950976).

64654511040 is an abundant number, since it is smaller than the sum of its proper divisors (204333390912).

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

64654511040 is a wasteful number, since it uses less digits than its factorization.

64654511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 64654511040 in words is "sixty-four billion, six hundred fifty-four million, five hundred eleven thousand, forty".