6958078464 has 160 divisors (see below), whose sum is σ = 20144424960. Its totient is φ = 2126131200.

The previous prime is 6958078453. The next prime is 6958078507. The reversal of 6958078464 is 4648708596.

It is a super-3 number, since 3×6958078464³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 15 ways as a sum of consecutive naturals, for example, 900859 + ... + 908549.

It is an arithmetic number, because the mean of its divisors is an integer number (125902656).

Almost surely, 2^6958078464 is an apocalyptic number.

6958078464 is a gapful number since it is divisible by the number (64) 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 6958078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072212480).

6958078464 is an abundant number, since it is smaller than the sum of its proper divisors (13186346496).

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

6958078464 is a wasteful number, since it uses less digits than its factorization.

6958078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 6958078464 is about 83415.0973385514. The cubic root of 6958078464 is about 1909.1048192200.

The spelling of 6958078464 in words is "six billion, nine hundred fifty-eight million, seventy-eight thousand, four hundred sixty-four".