6989177664 has 672 divisors, whose sum is σ = 26035609600. Its totient is φ = 1813985280.

The previous prime is 6989177651. The next prime is 6989177711. The reversal of 6989177664 is 4667719896.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64120842 + ... + 64120950.

Almost surely, 2^6989177664 is an apocalyptic number.

6989177664 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 6989177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017804800).

6989177664 is an abundant number, since it is smaller than the sum of its proper divisors (19046431936).

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

6989177664 is a wasteful number, since it uses less digits than its factorization.

6989177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 6989177664 is about 83601.3018080460. The cubic root of 6989177664 is about 1911.9448464801.

The spelling of 6989177664 in words is "six billion, nine hundred eighty-nine million, one hundred seventy-seven thousand, six hundred sixty-four".