4759948537344 has 960 divisors, whose sum is σ = 19061669975040. Its totient is φ = 1141209907200.

The previous prime is 4759948537319. The next prime is 4759948537373. The reversal of 4759948537344 is 4437358499574.

4759948537344 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 9 + 48 + 537 + 3 + 44 = 666.

It is a super-2 number, since 2×4759948537344² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152200429 + ... + 152231699.

It is an arithmetic number, because the mean of its divisors is an integer number (19855906224).

Almost surely, 2^{4759948537344} is an apocalyptic number.

4759948537344 is a gapful number since it is divisible by the number (44) 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 4759948537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530834987520).

4759948537344 is an abundant number, since it is smaller than the sum of its proper divisors (14301721437696).

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

4759948537344 is a wasteful number, since it uses less digits than its factorization.

4759948537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31340 (or 31307 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 4759948537344 in words is "four trillion, seven hundred fifty-nine billion, nine hundred forty-eight million, five hundred thirty-seven thousand, three hundred forty-four".