97431647040 has 1344 divisors, whose sum is σ = 438019545600. Its totient is φ = 20483850240.

The previous prime is 97431647017. The next prime is 97431647057. The reversal of 97431647040 is 4074613479.

97431647040 is a `hidden beast` number, since 97 + 43 + 16 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346731700 + ... + 346731980.

It is an arithmetic number, because the mean of its divisors is an integer number (325907400).

Almost surely, 2^97431647040 is an apocalyptic number.

97431647040 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 97431647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219009772800).

97431647040 is an abundant number, since it is smaller than the sum of its proper divisors (340587898560).

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

97431647040 is a wasteful number, since it uses less digits than its factorization.

97431647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 97431647040 in words is "ninety-seven billion, four hundred thirty-one million, six hundred forty-seven thousand, forty".