7548045120 has 672 divisors, whose sum is σ = 32785848576. Its totient is φ = 1548288000.

The previous prime is 7548045097. The next prime is 7548045121. The reversal of 7548045120 is 215408457.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7548045121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22397592 + ... + 22397928.

Almost surely, 2^7548045120 is an apocalyptic number.

7548045120 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 7548045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392924288).

7548045120 is an abundant number, since it is smaller than the sum of its proper divisors (25237803456).

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

7548045120 is a wasteful number, since it uses less digits than its factorization.

7548045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 7548045120 is about 86879.4861863259. The cubic root of 7548045120 is about 1961.6047110834.

The spelling of 7548045120 in words is "seven billion, five hundred forty-eight million, forty-five thousand, one hundred twenty".