67560998400 has 1440 divisors, whose sum is σ = 299208349440. Its totient is φ = 14770667520.

The previous prime is 67560998381. The next prime is 67560998419. The reversal of 67560998400 is 489906576.

It is an interprime number because it is at equal distance from previous prime (67560998381) and next prime (67560998419).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 631411147 + ... + 631411253.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^67560998400 is an apocalyptic number.

67560998400 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 67560998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149604174720).

67560998400 is an abundant number, since it is smaller than the sum of its proper divisors (231647351040).

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

67560998400 is a wasteful number, since it uses less digits than its factorization.

67560998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67560998400 in words is "sixty-seven billion, five hundred sixty million, nine hundred ninety-eight thousand, four hundred".