6961489920 has 960 divisors, whose sum is σ = 31394563200. Its totient is φ = 1433272320.

The previous prime is 6961489907. The next prime is 6961489937. The reversal of 6961489920 is 299841696.

6961489920 = 24³ + 25³ + ... + 408³.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866826 + ... + 63866934.

It is an arithmetic number, because the mean of its divisors is an integer number (32702670).

Almost surely, 2^6961489920 is an apocalyptic number.

6961489920 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 6961489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697281600).

6961489920 is an abundant number, since it is smaller than the sum of its proper divisors (24433073280).

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

6961489920 is a wasteful number, since it uses less digits than its factorization.

6961489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 6961489920 is about 83435.5435051513. The cubic root of 6961489920 is about 1909.4167713885.

The spelling of 6961489920 in words is "six billion, nine hundred sixty-one million, four hundred eighty-nine thousand, nine hundred twenty".