75438356616 has 192 divisors, whose sum is σ = 244060078080. Its totient is φ = 21383611200.

The previous prime is 75438356603. The next prime is 75438356663. The reversal of 75438356616 is 61665383457.

75438356616 is a `hidden beast` number, since 7 + 543 + 8 + 35 + 6 + 61 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1706391 + ... + 1750041.

It is an arithmetic number, because the mean of its divisors is an integer number (1271146240).

Almost surely, 2^75438356616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75438356616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122030039040).

75438356616 is an abundant number, since it is smaller than the sum of its proper divisors (168621721464).

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

75438356616 is a wasteful number, since it uses less digits than its factorization.

75438356616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43806 (or 43790 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 75438356616 in words is "seventy-five billion, four hundred thirty-eight million, three hundred fifty-six thousand, six hundred sixteen".