74162167890720 has 1536 divisors, whose sum is σ = 311394320842752. Its totient is φ = 14391250255872.

The previous prime is 74162167890677. The next prime is 74162167890751. The reversal of 74162167890720 is 2709876126147.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30607579429 + ... + 30607581851.

It is an arithmetic number, because the mean of its divisors is an integer number (202730677632).

Almost surely, 2^{74162167890720} is an apocalyptic number.

74162167890720 is a gapful number since it is divisible by the number (70) 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 74162167890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155697160421376).

74162167890720 is an abundant number, since it is smaller than the sum of its proper divisors (237232152952032).

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

74162167890720 is a wasteful number, since it uses less digits than its factorization.

74162167890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 74162167890720 in words is "seventy-four trillion, one hundred sixty-two billion, one hundred sixty-seven million, eight hundred ninety thousand, seven hundred twenty".