4758773973408 has 720 divisors, whose sum is σ = 17960609515464. Its totient is φ = 1224432599040.

The previous prime is 4758773973389. The next prime is 4758773973409. The reversal of 4758773973408 is 8043793778574.

4758773973408 is a `hidden beast` number, since 4 + 7 + 5 + 87 + 73 + 9 + 73 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2592190160784 + 2166583812624 = 1610028^2 + 1471932^2 .

It is a super-2 number, since 2×4758773973408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4758773973409) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 67660116 + ... + 67730412.

Almost surely, 2^{4758773973408} is an apocalyptic number.

4758773973408 is a gapful number since it is divisible by the number (48) 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 4758773973408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980304757732).

4758773973408 is an abundant number, since it is smaller than the sum of its proper divisors (13201835542056).

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

4758773973408 is a wasteful number, since it uses less digits than its factorization.

4758773973408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70387 (or 70363 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 4758773973408 in words is "four trillion, seven hundred fifty-eight billion, seven hundred seventy-three million, nine hundred seventy-three thousand, four hundred eight".