6958634040 has 48 divisors (see below), whose sum is σ = 22615561800. Its totient is φ = 1855635648.

The previous prime is 6958634027. The next prime is 6958634047. The reversal of 6958634040 is 404368596.

6958634040 is a `hidden beast` number, since 6 + 9 + 5 + 8 + 634 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6958634047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9664410 + ... + 9665129.

Almost surely, 2^6958634040 is an apocalyptic number.

6958634040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6958634040 is an abundant number, since it is smaller than the sum of its proper divisors (15656927760).

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

6958634040 is a wasteful number, since it uses less digits than its factorization.

6958634040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19329556 (or 19329549 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6958634040 is about 83418.4274606037. The cubic root of 6958634040 is about 1909.1556294447.

The spelling of 6958634040 in words is "six billion, nine hundred fifty-eight million, six hundred thirty-four thousand, forty".