74267020800 has 960 divisors, whose sum is σ = 316216665600. Its totient is φ = 16930529280.

The previous prime is 74267020787. The next prime is 74267020801. The reversal of 74267020800 is 802076247.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74267020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195955011 + ... + 195955389.

It is an arithmetic number, because the mean of its divisors is an integer number (329392360).

Almost surely, 2^74267020800 is an apocalyptic number.

74267020800 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 74267020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158108332800).

74267020800 is an abundant number, since it is smaller than the sum of its proper divisors (241949644800).

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

74267020800 is an frugal number, since it uses more digits than its factorization.

74267020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74267020800 in words is "seventy-four billion, two hundred sixty-seven million, twenty thousand, eight hundred".