7537149440 has 80 divisors (see below), whose sum is σ = 18237962160. Its totient is φ = 2987089920.

The previous prime is 7537149437. The next prime is 7537149449. The reversal of 7537149440 is 449417357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7537149391 and 7537149400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7537149449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265535 + ... + 292545.

It is an arithmetic number, because the mean of its divisors is an integer number (227974527).

Almost surely, 2^7537149440 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 7537149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118981080).

7537149440 is an abundant number, since it is smaller than the sum of its proper divisors (10700812720).

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

7537149440 is a wasteful number, since it uses less digits than its factorization.

7537149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27143 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 7537149440 is about 86816.7578293500. The cubic root of 7537149440 is about 1960.6603910998.

The spelling of 7537149440 in words is "seven billion, five hundred thirty-seven million, one hundred forty-nine thousand, four hundred forty".