66124106400 has 288 divisors, whose sum is σ = 242900078400. Its totient is φ = 15477145600.

The previous prime is 66124106383. The next prime is 66124106417. The reversal of 66124106400 is 460142166.

66124106400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66124106383) and next prime (66124106417).

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 47 ways as a sum of consecutive naturals, for example, 722416 + ... + 808784.

It is an arithmetic number, because the mean of its divisors is an integer number (843403050).

Almost surely, 2^66124106400 is an apocalyptic number.

66124106400 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 66124106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450039200).

66124106400 is an abundant number, since it is smaller than the sum of its proper divisors (176775972000).

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

66124106400 is a wasteful number, since it uses less digits than its factorization.

66124106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86432 (or 86419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 66124106400 its reverse (460142166), we get a palindrome (66584248566).

The spelling of 66124106400 in words is "sixty-six billion, one hundred twenty-four million, one hundred six thousand, four hundred".