6959964480 has 448 divisors, whose sum is σ = 26834104320. Its totient is φ = 1497139200.

The previous prime is 6959964449. The next prime is 6959964481. The reversal of 6959964480 is 844699596.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6959964480² = 96882211125723340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6959964481) 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, 46092405 + ... + 46092555.

Almost surely, 2^6959964480 is an apocalyptic number.

6959964480 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 6959964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417052160).

6959964480 is an abundant number, since it is smaller than the sum of its proper divisors (19874139840).

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

6959964480 is a wasteful number, since it uses less digits than its factorization.

6959964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The square root of 6959964480 is about 83426.4015764794. The cubic root of 6959964480 is about 1909.2772938950.

The spelling of 6959964480 in words is "six billion, nine hundred fifty-nine million, nine hundred sixty-four thousand, four hundred eighty".