9975420000 has 1440 divisors, whose sum is σ = 47116792800. Its totient is φ = 2032128000.

The previous prime is 9975419977. The next prime is 9975420023. The reversal of 9975420000 is 245799.

It is an interprime number because it is at equal distance from previous prime (9975419977) and next prime (9975420023).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 343979986 + ... + 343980014.

It is an arithmetic number, because the mean of its divisors is an integer number (32719995).

Almost surely, 2^9975420000 is an apocalyptic number.

9975420000 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 9975420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558396400).

9975420000 is an abundant number, since it is smaller than the sum of its proper divisors (37141372800).

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

9975420000 is a wasteful number, since it uses less digits than its factorization.

9975420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9975420000 is about 99877.0243849906. The cubic root of 9975420000 is about 2152.6680416103.

Adding to 9975420000 its reverse (245799), we get a palindrome (9975665799).

The spelling of 9975420000 in words is "nine billion, nine hundred seventy-five million, four hundred twenty thousand".