6978636000 has 960 divisors, whose sum is σ = 31166239104. Its totient is φ = 1492992000.

The previous prime is 6978635987. The next prime is 6978636001. The reversal of 6978636000 is 6368796.

6978636000 is a `hidden beast` number, since 6 + 9 + 7 + 8 + 636 + 0 + 0 + 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 (6978636001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38555910 + ... + 38556090.

Almost surely, 2^6978636000 is an apocalyptic number.

6978636000 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 6978636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583119552).

6978636000 is an abundant number, since it is smaller than the sum of its proper divisors (24187603104).

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

6978636000 is a wasteful number, since it uses less digits than its factorization.

6978636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6978636000 is about 83538.2307689120. The cubic root of 6978636000 is about 1910.9831109312.

The spelling of 6978636000 in words is "six billion, nine hundred seventy-eight million, six hundred thirty-six thousand".