64631424000 has 1056 divisors, whose sum is σ = 256865551488. Its totient is φ = 14327808000.

The previous prime is 64631423971. The next prime is 64631424031. The reversal of 64631424000 is 42413646.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 604031947 + ... + 604032053.

Almost surely, 2^64631424000 is an apocalyptic number.

64631424000 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 64631424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432775744).

64631424000 is an abundant number, since it is smaller than the sum of its proper divisors (192234127488).

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

64631424000 is a wasteful number, since it uses less digits than its factorization.

64631424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 64631424000 its reverse (42413646), we get a palindrome (64673837646).

The spelling of 64631424000 in words is "sixty-four billion, six hundred thirty-one million, four hundred twenty-four thousand".