6911628480 has 448 divisors, whose sum is σ = 26071372800. Its totient is φ = 1718599680.

The previous prime is 6911628469. The next prime is 6911628497. The reversal of 6911628480 is 848261196.

6911628480 is a `hidden beast` number, since 6 + 9 + 1 + 162 + 8 + 480 = 666.

It is a super-2 number, since 2×6911628480² = 95541216491094220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 11655064 + ... + 11655656.

Almost surely, 2^6911628480 is an apocalyptic number.

6911628480 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 6911628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035686400).

6911628480 is an abundant number, since it is smaller than the sum of its proper divisors (19159744320).

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

6911628480 is a wasteful number, since it uses less digits than its factorization.

6911628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6911628480 is about 83136.2043877395. The cubic root of 6911628480 is about 1904.8471326277.

The spelling of 6911628480 in words is "six billion, nine hundred eleven million, six hundred twenty-eight thousand, four hundred eighty".