74763168480 has 2304 divisors, whose sum is σ = 379463325696. Its totient is φ = 13377208320.

The previous prime is 74763168461. The next prime is 74763168509. The reversal of 74763168480 is 8486136747.

74763168480 is a `hidden beast` number, since 7 + 4 + 76 + 31 + 68 + 480 = 666.

It is a super-2 number, since 2×74763168480² (a number of 23 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 661620904 + ... + 661621016.

It is an arithmetic number, because the mean of its divisors is an integer number (164697624).

Almost surely, 2^74763168480 is an apocalyptic number.

74763168480 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 74763168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189731662848).

74763168480 is an abundant number, since it is smaller than the sum of its proper divisors (304700157216).

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

74763168480 is a wasteful number, since it uses less digits than its factorization.

74763168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 74763168480 in words is "seventy-four billion, seven hundred sixty-three million, one hundred sixty-eight thousand, four hundred eighty".