6958580640 has 192 divisors, whose sum is σ = 23954216832. Its totient is φ = 1683968000.

The previous prime is 6958580627. The next prime is 6958580663. The reversal of 6958580640 is 460858596.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5347990 + ... + 5349290.

It is an arithmetic number, because the mean of its divisors is an integer number (124761546).

Almost surely, 2^6958580640 is an apocalyptic number.

6958580640 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 6958580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977108416).

6958580640 is an abundant number, since it is smaller than the sum of its proper divisors (16995636192).

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

6958580640 is a wasteful number, since it uses less digits than its factorization.

6958580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 6958580640 is about 83418.1073868258. The cubic root of 6958580640 is about 1909.1507458631.

The spelling of 6958580640 in words is "six billion, nine hundred fifty-eight million, five hundred eighty thousand, six hundred forty".