67312421576400 has 1920 divisors, whose sum is σ = 301421483790336. Its totient is φ = 12389444812800.

The previous prime is 67312421576383. The next prime is 67312421576417. The reversal of 67312421576400 is 467512421376.

It is an interprime number because it is at equal distance from previous prime (67312421576383) and next prime (67312421576417).

It is a super-2 number, since 2×67312421576400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67312421576400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3244430827 + ... + 3244451573.

Almost surely, 2^{67312421576400} is an apocalyptic number.

67312421576400 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 67312421576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150710741895168).

67312421576400 is an abundant number, since it is smaller than the sum of its proper divisors (234109062213936).

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

67312421576400 is a wasteful number, since it uses less digits than its factorization.

67312421576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20909 (or 20898 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

Adding to 67312421576400 its reverse (467512421376), we get a palindrome (67779933997776).

The spelling of 67312421576400 in words is "sixty-seven trillion, three hundred twelve billion, four hundred twenty-one million, five hundred seventy-six thousand, four hundred".