74252921460480 has 2880 divisors, whose sum is σ = 342328073472000. Its totient is φ = 14958776549376.

The previous prime is 74252921460457. The next prime is 74252921460491. The reversal of 74252921460480 is 8406412925247.

74252921460480 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 2 + 9 + 21 + 4 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×74252921460480³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20863420941 + ... + 20863424499.

It is an arithmetic number, because the mean of its divisors is an integer number (118863914400).

Almost surely, 2^{74252921460480} is an apocalyptic number.

74252921460480 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 74252921460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171164036736000).

74252921460480 is an abundant number, since it is smaller than the sum of its proper divisors (268075152011520).

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

74252921460480 is a wasteful number, since it uses less digits than its factorization.

74252921460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 74252921460480 in words is "seventy-four trillion, two hundred fifty-two billion, nine hundred twenty-one million, four hundred sixty thousand, four hundred eighty".