67625682998400 has 1152 divisors, whose sum is σ = 260967031416000. Its totient is φ = 16618527129600.

The previous prime is 67625682998303. The next prime is 67625682998473. The reversal of 67625682998400 is 489928652676.

It is a happy number.

67625682998400 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 56 + 82 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7919621331 + ... + 7919629869.

Almost surely, 2^{67625682998400} is an apocalyptic number.

67625682998400 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 67625682998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130483515708000).

67625682998400 is an abundant number, since it is smaller than the sum of its proper divisors (193341348417600).

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

67625682998400 is a wasteful number, since it uses less digits than its factorization.

67625682998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 67625682998400 in words is "sixty-seven trillion, six hundred twenty-five billion, six hundred eighty-two million, nine hundred ninety-eight thousand, four hundred".