67277952000 has 1232 divisors, whose sum is σ = 290392856832. Its totient is φ = 15228518400.

The previous prime is 67277951987. The next prime is 67277952061. The reversal of 67277952000 is 25977276.

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 111 ways as a sum of consecutive naturals, for example, 653183949 + ... + 653184051.

Almost surely, 2^67277952000 is an apocalyptic number.

67277952000 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 67277952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145196428416).

67277952000 is an abundant number, since it is smaller than the sum of its proper divisors (223114904832).

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

67277952000 is an equidigital number, since it uses as much as digits as its factorization.

67277952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 67277952000 in words is "sixty-seven billion, two hundred seventy-seven million, nine hundred fifty-two thousand".