7460538948720 has 1200 divisors, whose sum is σ = 31940814799872. Its totient is φ = 1596845352960.

The previous prime is 7460538948701. The next prime is 7460538948727. The reversal of 7460538948720 is 278498350647.

7460538948720 is a `hidden beast` number, since 7 + 4 + 6 + 0 + 53 + 89 + 487 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7460538948727) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 277051897 + ... + 277078823.

Almost surely, 2^{7460538948720} 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 7460538948720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970407399936).

7460538948720 is an abundant number, since it is smaller than the sum of its proper divisors (24480275851152).

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

7460538948720 is a wasteful number, since it uses less digits than its factorization.

7460538948720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 26984 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7460538948720 in words is "seven trillion, four hundred sixty billion, five hundred thirty-eight million, nine hundred forty-eight thousand, seven hundred twenty".