7460545920 has 128 divisors (see below), whose sum is σ = 23825772000. Its totient is φ = 1985691648.

The previous prime is 7460545889. The next prime is 7460545927. The reversal of 7460545920 is 295450647.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7460545927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1089066 + ... + 1095894.

Almost surely, 2^7460545920 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 7460545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912886000).

7460545920 is an abundant number, since it is smaller than the sum of its proper divisors (16365226080).

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

7460545920 is a wasteful number, since it uses less digits than its factorization.

7460545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 7460545920 is about 86374.4517782892. The cubic root of 7460545920 is about 1953.9953952749.

The spelling of 7460545920 in words is "seven billion, four hundred sixty million, five hundred forty-five thousand, nine hundred twenty".