7537660416 has 800 divisors, whose sum is σ = 27949211136. Its totient is φ = 1990656000.

The previous prime is 7537660409. The next prime is 7537660423. The reversal of 7537660416 is 6140667357.

7537660416 is a `hidden beast` number, since 7 + 5 + 37 + 6 + 604 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7537660409) and next prime (7537660423).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183845356 + ... + 183845396.

Almost surely, 2^7537660416 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 7537660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974605568).

7537660416 is an abundant number, since it is smaller than the sum of its proper divisors (20411550720).

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

7537660416 is a wasteful number, since it uses less digits than its factorization.

7537660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7537660416 is about 86819.7006214603. The cubic root of 7537660416 is about 1960.7046973181.

The spelling of 7537660416 in words is "seven billion, five hundred thirty-seven million, six hundred sixty thousand, four hundred sixteen".