64106159040 has 1008 divisors, whose sum is σ = 284823493344. Its totient is φ = 13083033600.

The previous prime is 64106159023. The next prime is 64106159059. The reversal of 64106159040 is 4095160146.

64106159040 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 61 + 590 + 4 + 0 = 666.

64106159040 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 (1008).

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 = 64106158986 and 64106159004.

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, 94691182 + ... + 94691858.

Almost surely, 2^64106159040 is an apocalyptic number.

64106159040 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 64106159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142411746672).

64106159040 is an abundant number, since it is smaller than the sum of its proper divisors (220717334304).

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

64106159040 is a wasteful number, since it uses less digits than its factorization.

64106159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 64106159040 in words is "sixty-four billion, one hundred six million, one hundred fifty-nine thousand, forty".