67382034720 has 1536 divisors, whose sum is σ = 307420323840. Its totient is φ = 12043468800.

The previous prime is 67382034691. The next prime is 67382034721. The reversal of 67382034720 is 2743028376.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (67382034721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1104623490 + ... + 1104623550.

It is an arithmetic number, because the mean of its divisors is an integer number (200143440).

Almost surely, 2^67382034720 is an apocalyptic number.

67382034720 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 67382034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153710161920).

67382034720 is an abundant number, since it is smaller than the sum of its proper divisors (240038289120).

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

67382034720 is a wasteful number, since it uses less digits than its factorization.

67382034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 67382034720 in words is "sixty-seven billion, three hundred eighty-two million, thirty-four thousand, seven hundred twenty".