7601263488 has 384 divisors, whose sum is σ = 27801446400. Its totient is φ = 1939230720.

The previous prime is 7601263471. The next prime is 7601263513. The reversal of 7601263488 is 8843621067.

7601263488 is a `hidden beast` number, since 7 + 6 + 0 + 1 + 2 + 634 + 8 + 8 = 666.

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

It is a super-2 number, since 2×7601263488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3248623 + ... + 3250961.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 2^7601263488 is an apocalyptic number.

7601263488 is a gapful number since it is divisible by the number (78) 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 7601263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900723200).

7601263488 is an abundant number, since it is smaller than the sum of its proper divisors (20200182912).

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

7601263488 is a wasteful number, since it uses less digits than its factorization.

7601263488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7601263488 is about 87185.2251703234. The cubic root of 7601263488 is about 1966.2040923504.

The spelling of 7601263488 in words is "seven billion, six hundred one million, two hundred sixty-three thousand, four hundred eighty-eight".