93472406400 has 192 divisors, whose sum is σ = 310302996480. Its totient is φ = 24729384960.

The previous prime is 93472406389. The next prime is 93472406407. The reversal of 93472406400 is 460427439.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93472406407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180867 + ... + 1257533.

It is an arithmetic number, because the mean of its divisors is an integer number (1616161440).

Almost surely, 2^93472406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93472406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151498240).

93472406400 is an abundant number, since it is smaller than the sum of its proper divisors (216830590080).

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

93472406400 is a wasteful number, since it uses less digits than its factorization.

93472406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76821 (or 76804 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 93472406400 in words is "ninety-three billion, four hundred seventy-two million, four hundred six thousand, four hundred".