64214121600 has 768 divisors, whose sum is σ = 246560112000. Its totient is φ = 16303472640.

The previous prime is 64214121599. The next prime is 64214121617. The reversal of 64214121600 is 612141246.

64214121600 is a `hidden beast` number, since 6 + 42 + 1 + 4 + 12 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169430211 + ... + 169430589.

Almost surely, 2^64214121600 is an apocalyptic number.

64214121600 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 64214121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123280056000).

64214121600 is an abundant number, since it is smaller than the sum of its proper divisors (182345990400).

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

64214121600 is a wasteful number, since it uses less digits than its factorization.

64214121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 64214121600 its reverse (612141246), we get a palindrome (64826262846).

The spelling of 64214121600 in words is "sixty-four billion, two hundred fourteen million, one hundred twenty-one thousand, six hundred".