6919993440 has 432 divisors, whose sum is σ = 25450824672. Its totient is φ = 1708793856.

The previous prime is 6919993433. The next prime is 6919993447. The reversal of 6919993440 is 443999196.

6919993440 is a `hidden beast` number, since 6 + 9 + 199 + 9 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (6919993433) and next prime (6919993447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6919993447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61238824 + ... + 61238936.

It is an arithmetic number, because the mean of its divisors is an integer number (58913946).

Almost surely, 2^6919993440 is an apocalyptic number.

6919993440 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 6919993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725412336).

6919993440 is an abundant number, since it is smaller than the sum of its proper divisors (18530831232).

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

6919993440 is a wasteful number, since it uses less digits than its factorization.

6919993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 6919993440 is about 83186.4979428753. The cubic root of 6919993440 is about 1905.6152847490.

The spelling of 6919993440 in words is "six billion, nine hundred nineteen million, nine hundred ninety-three thousand, four hundred forty".