67448747520 has 2560 divisors, whose sum is σ = 339406848000. Its totient is φ = 12262440960.

The previous prime is 67448747503. The next prime is 67448747521. The reversal of 67448747520 is 2574784476.

67448747520 is a `hidden beast` number, since 6 + 7 + 4 + 48 + 74 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67448747521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2325818866 + ... + 2325818894.

It is an arithmetic number, because the mean of its divisors is an integer number (132580800).

Almost surely, 2^67448747520 is an apocalyptic number.

67448747520 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 67448747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424000).

67448747520 is an abundant number, since it is smaller than the sum of its proper divisors (271958100480).

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

67448747520 is a wasteful number, since it uses less digits than its factorization.

67448747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 67448747520 in words is "sixty-seven billion, four hundred forty-eight million, seven hundred forty-seven thousand, five hundred twenty".