67625574240 has 288 divisors, whose sum is σ = 248119943904. Its totient is φ = 15437291520.

The previous prime is 67625574221. The next prime is 67625574253. The reversal of 67625574240 is 4247552676.

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 67625574240.

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, 25800130 + ... + 25802750.

It is an arithmetic number, because the mean of its divisors is an integer number (861527583).

Almost surely, 2^67625574240 is an apocalyptic number.

67625574240 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 67625574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124059971952).

67625574240 is an abundant number, since it is smaller than the sum of its proper divisors (180494369664).

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

67625574240 is a wasteful number, since it uses less digits than its factorization.

67625574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 67625574240 in words is "sixty-seven billion, six hundred twenty-five million, five hundred seventy-four thousand, two hundred forty".