7505713152 has 192 divisors, whose sum is σ = 25411276800. Its totient is φ = 2144378880.

The previous prime is 7505713147. The next prime is 7505713169. The reversal of 7505713152 is 2513175057.

It is a happy number.

7505713152 is a `hidden beast` number, since 7 + 5 + 0 + 571 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377377 + ... + 396767.

It is an arithmetic number, because the mean of its divisors is an integer number (132350400).

Almost surely, 2^7505713152 is an apocalyptic number.

7505713152 is a gapful number since it is divisible by the number (72) 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 7505713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705638400).

7505713152 is an abundant number, since it is smaller than the sum of its proper divisors (17905563648).

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

7505713152 is a wasteful number, since it uses less digits than its factorization.

7505713152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19429 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 7505713152 is about 86635.5189976952. The cubic root of 7505713152 is about 1957.9307218535.

It can be divided in two parts, 75057 and 13152, that added together give a square (88209 = 297²).

The spelling of 7505713152 in words is "seven billion, five hundred five million, seven hundred thirteen thousand, one hundred fifty-two".