6974338560 has 480 divisors, whose sum is σ = 26601011712. Its totient is φ = 1553448960.

The previous prime is 6974338471. The next prime is 6974338561. The reversal of 6974338560 is 658334796.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6974338561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16181545 + ... + 16181975.

Almost surely, 2^6974338560 is an apocalyptic number.

6974338560 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 6974338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300505856).

6974338560 is an abundant number, since it is smaller than the sum of its proper divisors (19626673152).

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

6974338560 is a wasteful number, since it uses less digits than its factorization.

6974338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 6974338560 is about 83512.5054108665. The cubic root of 6974338560 is about 1910.5907696220.

The spelling of 6974338560 in words is "six billion, nine hundred seventy-four million, three hundred thirty-eight thousand, five hundred sixty".