7506715672260 has 1152 divisors, whose sum is σ = 29523310387200. Its totient is φ = 1546422451200.

The previous prime is 7506715672259. The next prime is 7506715672343. The reversal of 7506715672260 is 622765176057.

7506715672260 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 71 + 567 + 2 + 2 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7506715672197 and 7506715672206.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4210159329 + ... + 4210161111.

It is an arithmetic number, because the mean of its divisors is an integer number (25627873600).

Almost surely, 2^{7506715672260} is an apocalyptic number.

7506715672260 is a gapful number since it is divisible by the number (70) 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 7506715672260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761655193600).

7506715672260 is an abundant number, since it is smaller than the sum of its proper divisors (22016594714940).

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

7506715672260 is a wasteful number, since it uses less digits than its factorization.

7506715672260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 7506715672260 in words is "seven trillion, five hundred six billion, seven hundred fifteen million, six hundred seventy-two thousand, two hundred sixty".