970245319680000 has 5600 divisors, whose sum is σ = 4561100629392384. Its totient is φ = 199989264384000.

The previous prime is 970245319679939. The next prime is 970245319680031. The reversal of 970245319680000 is 86913542079.

970245319680000 is a `hidden beast` number, since 9 + 7 + 0 + 24 + 531 + 9 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1773757439727 + ... + 1773757440273.

It is a 1-persistent number, because it is pandigital, but 2⋅970245319680000 = 1940490639360000 is not.

Almost surely, 2^{970245319680000} is an apocalyptic number.

970245319680000 is a gapful number since it is divisible by the number (90) 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 970245319680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280550314696192).

970245319680000 is an abundant number, since it is smaller than the sum of its proper divisors (3590855309712384).

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

970245319680000 is an equidigital number, since it uses as much as digits as its factorization.

970245319680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 970245319680000 in words is "nine hundred seventy trillion, two hundred forty-five billion, three hundred nineteen million, six hundred eighty thousand".