64929047400 has 432 divisors, whose sum is σ = 261847347840. Its totient is φ = 14361580800.

The previous prime is 64929047399. The next prime is 64929047471. The reversal of 64929047400 is 474092946.

64929047400 is a `hidden beast` number, since 6 + 4 + 92 + 90 + 474 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2722327 + ... + 2746073.

It is an arithmetic number, because the mean of its divisors is an integer number (606128120).

Almost surely, 2^64929047400 is an apocalyptic number.

64929047400 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 64929047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130923673920).

64929047400 is an abundant number, since it is smaller than the sum of its proper divisors (196918300440).

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

64929047400 is a wasteful number, since it uses less digits than its factorization.

64929047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 64929047400 in words is "sixty-four billion, nine hundred twenty-nine million, forty-seven thousand, four hundred".