67148144640 has 560 divisors, whose sum is σ = 247681863792. Its totient is φ = 17390370816.

The previous prime is 67148144639. The next prime is 67148144717. The reversal of 67148144640 is 4644184176.

67148144640 is a `hidden beast` number, since 6 + 71 + 481 + 44 + 64 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 122756847 + ... + 122757393.

Almost surely, 2^67148144640 is an apocalyptic number.

67148144640 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 67148144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123840931896).

67148144640 is an abundant number, since it is smaller than the sum of its proper divisors (180533719152).

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

67148144640 is an equidigital number, since it uses as much as digits as its factorization.

67148144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 67148144640 in words is "sixty-seven billion, one hundred forty-eight million, one hundred forty-four thousand, six hundred forty".