67712832000 has 480 divisors, whose sum is σ = 266085540864. Its totient is φ = 16413696000.

The previous prime is 67712831983. The next prime is 67712832023. The reversal of 67712832000 is 23821776.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×67712832000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6330657 + ... + 6341343.

Almost surely, 2^67712832000 is an apocalyptic number.

67712832000 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 67712832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133042770432).

67712832000 is an abundant number, since it is smaller than the sum of its proper divisors (198372708864).

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

67712832000 is a wasteful number, since it uses less digits than its factorization.

67712832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 67712832000 in words is "sixty-seven billion, seven hundred twelve million, eight hundred thirty-two thousand".