7541212640 has 72 divisors (see below), whose sum is σ = 19292075208. Its totient is φ = 2784437760.

The previous prime is 7541212621. The next prime is 7541212687. The reversal of 7541212640 is 462121457.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7541212597 and 7541212606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112406 + ... + 166485.

It is an arithmetic number, because the mean of its divisors is an integer number (267945489).

Almost surely, 2^7541212640 is an apocalyptic number.

It is an amenable number.

7541212640 is an abundant number, since it is smaller than the sum of its proper divisors (11750862568).

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

7541212640 is a wasteful number, since it uses less digits than its factorization.

7541212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278932 (or 278911 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 7541212640 is about 86840.1556884832. The cubic root of 7541212640 is about 1961.0126517801.

The spelling of 7541212640 in words is "seven billion, five hundred forty-one million, two hundred twelve thousand, six hundred forty".