7437397968 has 840 divisors, whose sum is σ = 29762827200. Its totient is φ = 1783192320.

The previous prime is 7437397963. The next prime is 7437397997. The reversal of 7437397968 is 8697937347.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (48009024) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7437397963) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 572107530 + ... + 572107542.

Almost surely, 2^7437397968 is an apocalyptic number.

7437397968 is a gapful number since it is divisible by the number (78) 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 7437397968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881413600).

7437397968 is an abundant number, since it is smaller than the sum of its proper divisors (22325429232).

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

7437397968 is a wasteful number, since it uses less digits than its factorization.

7437397968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 7437397968 is about 86240.3499992898. The cubic root of 7437397968 is about 1951.9724042614.

The spelling of 7437397968 in words is "seven billion, four hundred thirty-seven million, three hundred ninety-seven thousand, nine hundred sixty-eight".