75554377344 has 384 divisors, whose sum is σ = 245670019200. Its totient is φ = 22813249536.

The previous prime is 75554377343. The next prime is 75554377357. The reversal of 75554377344 is 44377345557.

75554377344 is a `hidden beast` number, since 7 + 55 + 543 + 7 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (75554377343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28693852 + ... + 28696484.

It is an arithmetic number, because the mean of its divisors is an integer number (639765675).

Almost surely, 2^75554377344 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 75554377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122835009600).

75554377344 is an abundant number, since it is smaller than the sum of its proper divisors (170115641856).

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

75554377344 is a wasteful number, since it uses less digits than its factorization.

75554377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2680 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 54.

The spelling of 75554377344 in words is "seventy-five billion, five hundred fifty-four million, three hundred seventy-seven thousand, three hundred forty-four".