970002944820 has 288 divisors, whose sum is σ = 3680714419200. Its totient is φ = 201304673280.

The previous prime is 970002944791. The next prime is 970002944821. The reversal of 970002944820 is 28449200079.

970002944820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (970002944821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513781 + ... + 1484579.

It is an arithmetic number, because the mean of its divisors is an integer number (12780258400).

Almost surely, 2^970002944820 is an apocalyptic number.

970002944820 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 970002944820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840357209600).

970002944820 is an abundant number, since it is smaller than the sum of its proper divisors (2710711474380).

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

970002944820 is a wasteful number, since it uses less digits than its factorization.

970002944820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970895 (or 970890 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 970002944820 in words is "nine hundred seventy billion, two million, nine hundred forty-four thousand, eight hundred twenty".