7415541672 has 128 divisors (see below), whose sum is σ = 23149670400. Its totient is φ = 1923091200.

The previous prime is 7415541671. The next prime is 7415541697. The reversal of 7415541672 is 2761455147.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7415541671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325922 + ... + 1331502.

It is an arithmetic number, because the mean of its divisors is an integer number (180856800).

Almost surely, 2^7415541672 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 7415541672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574835200).

7415541672 is an abundant number, since it is smaller than the sum of its proper divisors (15734128728).

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

7415541672 is a wasteful number, since it uses less digits than its factorization.

7415541672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6323 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 7415541672 is about 86113.5394232521. The cubic root of 7415541672 is about 1950.0584398002.

The spelling of 7415541672 in words is "seven billion, four hundred fifteen million, five hundred forty-one thousand, six hundred seventy-two".