6958448640 has 768 divisors, whose sum is σ = 29286280800. Its totient is φ = 1557135360.

The previous prime is 6958448621. The next prime is 6958448657. The reversal of 6958448640 is 468448596.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535265274 + ... + 535265286.

Almost surely, 2^6958448640 is an apocalyptic number.

6958448640 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 6958448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643140400).

6958448640 is an abundant number, since it is smaller than the sum of its proper divisors (22327832160).

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

6958448640 is a wasteful number, since it uses less digits than its factorization.

6958448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6958448640 is about 83417.3161879475. The cubic root of 6958448640 is about 1909.1386739812.

The spelling of 6958448640 in words is "six billion, nine hundred fifty-eight million, four hundred forty-eight thousand, six hundred forty".