967432273920 has 1360 divisors, whose sum is σ = 4092535738368. Its totient is φ = 214035333120.

The previous prime is 967432273903. The next prime is 967432273939. The reversal of 967432273920 is 29372234769.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7617576897 + ... + 7617577023.

Almost surely, 2^967432273920 is an apocalyptic number.

967432273920 is a gapful number since it is divisible by the number (90) 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 967432273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046267869184).

967432273920 is an abundant number, since it is smaller than the sum of its proper divisors (3125103464448).

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

967432273920 is an equidigital number, since it uses as much as digits as its factorization.

967432273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 967432273920 in words is "nine hundred sixty-seven billion, four hundred thirty-two million, two hundred seventy-three thousand, nine hundred twenty".