6965778000 has 160 divisors (see below), whose sum is σ = 22535914752. Its totient is φ = 1851072000.

The previous prime is 6965777977. The next prime is 6965778007. The reversal of 6965778000 is 8775696.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6965778007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1864134 + ... + 1867866.

Almost surely, 2^6965778000 is an apocalyptic number.

6965778000 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 6965778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267957376).

6965778000 is an abundant number, since it is smaller than the sum of its proper divisors (15570136752).

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

6965778000 is a wasteful number, since it uses less digits than its factorization.

6965778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 6965778000 is about 83461.2365113290. The cubic root of 6965778000 is about 1909.8087397459.

The spelling of 6965778000 in words is "six billion, nine hundred sixty-five million, seven hundred seventy-eight thousand".