97950342420 has 1152 divisors, whose sum is σ = 400445337600. Its totient is φ = 19715705856.

The previous prime is 97950342419. The next prime is 97950342473. The reversal of 97950342420 is 2424305979.

97950342420 is digitally balanced in base 3, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 497209762 + ... + 497209958.

It is an arithmetic number, because the mean of its divisors is an integer number (347608800).

Almost surely, 2^97950342420 is an apocalyptic number.

97950342420 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 97950342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200222668800).

97950342420 is an abundant number, since it is smaller than the sum of its proper divisors (302494995180).

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

97950342420 is a wasteful number, since it uses less digits than its factorization.

97950342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 97950342420 in words is "ninety-seven billion, nine hundred fifty million, three hundred forty-two thousand, four hundred twenty".