67125461760 has 864 divisors, whose sum is σ = 282079848960. Its totient is φ = 14396424192.

The previous prime is 67125461759. The next prime is 67125461789. The reversal of 67125461760 is 6716452176.

67125461760 is a `hidden beast` number, since 6 + 7 + 1 + 25 + 4 + 617 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295706767 + ... + 295706993.

Almost surely, 2^67125461760 is an apocalyptic number.

67125461760 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 67125461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141039924480).

67125461760 is an abundant number, since it is smaller than the sum of its proper divisors (214954387200).

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

67125461760 is a wasteful number, since it uses less digits than its factorization.

67125461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 67125461760 in words is "sixty-seven billion, one hundred twenty-five million, four hundred sixty-one thousand, seven hundred sixty".