6737964480 has 448 divisors, whose sum is σ = 25808025600. Its totient is φ = 1645056000.

The previous prime is 6737964473. The next prime is 6737964481. The reversal of 6737964480 is 844697376.

It is a happy number.

6737964480 is a `hidden beast` number, since 6 + 73 + 7 + 96 + 4 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6737964481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26844355 + ... + 26844605.

It is an arithmetic number, because the mean of its divisors is an integer number (57607200).

Almost surely, 2^6737964480 is an apocalyptic number.

6737964480 is a gapful number since it is divisible by the number (60) 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 6737964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904012800).

6737964480 is an abundant number, since it is smaller than the sum of its proper divisors (19070061120).

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

6737964480 is a wasteful number, since it uses less digits than its factorization.

6737964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6737964480 is about 82085.1051043976. The cubic root of 6737964480 is about 1888.7576617690.

The spelling of 6737964480 in words is "six billion, seven hundred thirty-seven million, nine hundred sixty-four thousand, four hundred eighty".