9970479267840 has 2112 divisors, whose sum is σ = 45142243001856. Its totient is φ = 2054739197952.

The previous prime is 9970479267811. The next prime is 9970479267857. The reversal of 9970479267840 is 487629740799.

9970479267840 is a `hidden beast` number, since 9 + 9 + 70 + 479 + 2 + 6 + 7 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231871610859 + ... + 231871610901.

It is an arithmetic number, because the mean of its divisors is an integer number (21374168088).

Almost surely, 2^{9970479267840} is an apocalyptic number.

9970479267840 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 9970479267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22571121500928).

9970479267840 is an abundant number, since it is smaller than the sum of its proper divisors (35171763734016).

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

9970479267840 is an frugal number, since it uses more digits than its factorization.

9970479267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 9970479267840 in words is "nine trillion, nine hundred seventy billion, four hundred seventy-nine million, two hundred sixty-seven thousand, eight hundred forty".