7601382144 has 144 divisors (see below), whose sum is σ = 22757814240. Its totient is φ = 2533607424.

The previous prime is 7601382127. The next prime is 7601382149. The reversal of 7601382144 is 4412831067.

7601382144 is a `hidden beast` number, since 7 + 601 + 3 + 8 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×7601382144³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7601382099 and 7601382108.

It is not an unprimeable number, because it can be changed into a prime (7601382149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553084 + ... + 566660.

Almost surely, 2^7601382144 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 7601382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378907120).

7601382144 is an abundant number, since it is smaller than the sum of its proper divisors (15156432096).

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

7601382144 is an frugal number, since it uses more digits than its factorization.

7601382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7601382144 is about 87185.9056499386. The cubic root of 7601382144 is about 1966.2143231363.

The spelling of 7601382144 in words is "seven billion, six hundred one million, three hundred eighty-two thousand, one hundred forty-four".