67553406720 has 432 divisors, whose sum is σ = 245802053952. Its totient is φ = 17096048640.

The previous prime is 67553406689. The next prime is 67553406731. The reversal of 67553406720 is 2760435576.

It is a super-3 number, since 3×67553406720³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 36298590 + ... + 36300450.

It is an arithmetic number, because the mean of its divisors is an integer number (568986236).

Almost surely, 2^67553406720 is an apocalyptic number.

67553406720 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 67553406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122901026976).

67553406720 is an abundant number, since it is smaller than the sum of its proper divisors (178248647232).

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

67553406720 is a wasteful number, since it uses less digits than its factorization.

67553406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 67553406720 in words is "sixty-seven billion, five hundred fifty-three million, four hundred six thousand, seven hundred twenty".