7337649816 has 128 divisors (see below), whose sum is σ = 23315558400. Its totient is φ = 2094543360.

The previous prime is 7337649793. The next prime is 7337649877. The reversal of 7337649816 is 6189467337.

7337649816 is a `hidden beast` number, since 73 + 3 + 76 + 498 + 16 = 666.

It is a super-2 number, since 2×7337649816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2830681 + ... + 2833271.

It is an arithmetic number, because the mean of its divisors is an integer number (182152800).

Almost surely, 2^7337649816 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 7337649816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657779200).

7337649816 is an abundant number, since it is smaller than the sum of its proper divisors (15977908584).

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

7337649816 is a wasteful number, since it uses less digits than its factorization.

7337649816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4476 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7337649816 is about 85660.0829791800. The cubic root of 7337649816 is about 1943.2066759928.

The spelling of 7337649816 in words is "seven billion, three hundred thirty-seven million, six hundred forty-nine thousand, eight hundred sixteen".