690978816000 has 1216 divisors, whose sum is σ = 2826619960320. Its totient is φ = 165150720000.

The previous prime is 690978815993. The next prime is 690978816001. The reversal of 690978816000 is 618879096.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690978816001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9732095965 + ... + 9732096035.

Almost surely, 2^690978816000 is an apocalyptic number.

690978816000 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 690978816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413309980160).

690978816000 is an abundant number, since it is smaller than the sum of its proper divisors (2135641144320).

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

690978816000 is an frugal number, since it uses more digits than its factorization.

690978816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 690978816000 in words is "six hundred ninety billion, nine hundred seventy-eight million, eight hundred sixteen thousand".