64162414008 has 384 divisors, whose sum is σ = 225388800000. Its totient is φ = 16612801920.

The previous prime is 64162413967. The next prime is 64162414027. The reversal of 64162414008 is 80041426146.

It is a happy number.

64162414008 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 241 + 400 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74693883 + ... + 74694741.

It is an arithmetic number, because the mean of its divisors is an integer number (586950000).

Almost surely, 2^64162414008 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 64162414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112694400000).

64162414008 is an abundant number, since it is smaller than the sum of its proper divisors (161226385992).

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

64162414008 is a wasteful number, since it uses less digits than its factorization.

64162414008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64162414008 in words is "sixty-four billion, one hundred sixty-two million, four hundred fourteen thousand, eight".