67762420872 has 128 divisors (see below), whose sum is σ = 175668480000. Its totient is φ = 21770724096.

The previous prime is 67762420787. The next prime is 67762420951. The reversal of 67762420872 is 27802426776.

It is a super-2 number, since 2×67762420872² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21724129 + ... + 21727247.

It is an arithmetic number, because the mean of its divisors is an integer number (1372410000).

Almost surely, 2^67762420872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67762420872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87834240000).

67762420872 is an abundant number, since it is smaller than the sum of its proper divisors (107906059128).

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

67762420872 is a wasteful number, since it uses less digits than its factorization.

67762420872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 67762420872 in words is "sixty-seven billion, seven hundred sixty-two million, four hundred twenty thousand, eight hundred seventy-two".