64100912904 has 384 divisors, whose sum is σ = 211311360000. Its totient is φ = 17527104000.

The previous prime is 64100912891. The next prime is 64100912947. The reversal of 64100912904 is 40921900146.

It is a happy number.

64100912904 is a `hidden beast` number, since 641 + 0 + 0 + 9 + 1 + 2 + 9 + 0 + 4 = 666.

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

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, 77322762 + ... + 77323590.

It is an arithmetic number, because the mean of its divisors is an integer number (550290000).

Almost surely, 2^64100912904 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 64100912904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105655680000).

64100912904 is an abundant number, since it is smaller than the sum of its proper divisors (147210447096).

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

64100912904 is a wasteful number, since it uses less digits than its factorization.

64100912904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 64100912904 in words is "sixty-four billion, one hundred million, nine hundred twelve thousand, nine hundred four".