74655060480 has 1920 divisors, whose sum is σ = 362316810240. Its totient is φ = 14146928640.

The previous prime is 74655060449. The next prime is 74655060497. The reversal of 74655060480 is 8406055647.

74655060480 is a `hidden beast` number, since 7 + 4 + 65 + 50 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 899458519 + ... + 899458601.

It is an arithmetic number, because the mean of its divisors is an integer number (188706672).

Almost surely, 2^74655060480 is an apocalyptic number.

74655060480 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 74655060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181158405120).

74655060480 is an abundant number, since it is smaller than the sum of its proper divisors (287661749760).

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

74655060480 is a wasteful number, since it uses less digits than its factorization.

74655060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 74655060480 in words is "seventy-four billion, six hundred fifty-five million, sixty thousand, four hundred eighty".