61968283238400 has 3072 divisors, whose sum is σ = 268676303616000. Its totient is φ = 12485394432000.

The previous prime is 61968283238353. The next prime is 61968283238401. The reversal of 61968283238400 is 483238286916.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (61968283238401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380173516719 + ... + 380173516881.

It is an arithmetic number, because the mean of its divisors is an integer number (87459734250).

Almost surely, 2^{61968283238400} is an apocalyptic number.

61968283238400 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 61968283238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134338151808000).

61968283238400 is an abundant number, since it is smaller than the sum of its proper divisors (206708020377600).

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

61968283238400 is a wasteful number, since it uses less digits than its factorization.

61968283238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 61968283238400 in words is "sixty-one trillion, nine hundred sixty-eight billion, two hundred eighty-three million, two hundred thirty-eight thousand, four hundred".