4755074950080 has 1344 divisors, whose sum is σ = 21183227412480. Its totient is φ = 995222495232.

The previous prime is 4755074950079. The next prime is 4755074950123. The reversal of 4755074950080 is 800594705574.

4755074950080 is a `hidden beast` number, since 4 + 7 + 5 + 50 + 7 + 4 + 9 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4755074950080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4755074949999 and 4755074950026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 698963959 + ... + 698970761.

It is an arithmetic number, because the mean of its divisors is an integer number (15761329920).

Almost surely, 2^{4755074950080} is an apocalyptic number.

4755074950080 is a gapful number since it is divisible by the number (40) 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 4755074950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591613706240).

4755074950080 is an abundant number, since it is smaller than the sum of its proper divisors (16428152462400).

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

4755074950080 is a wasteful number, since it uses less digits than its factorization.

4755074950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 4755074950080 in words is "four trillion, seven hundred fifty-five billion, seventy-four million, nine hundred fifty thousand, eighty".