97285674240 has 288 divisors, whose sum is σ = 365538821760. Its totient is φ = 24416649216.

The previous prime is 97285674203. The next prime is 97285674281. The reversal of 97285674240 is 4247658279.

97285674240 is a `hidden beast` number, since 9 + 72 + 8 + 567 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504727 + ... + 670313.

It is an arithmetic number, because the mean of its divisors is an integer number (1269232020).

Almost surely, 2^97285674240 is an apocalyptic number.

97285674240 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 97285674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182769410880).

97285674240 is an abundant number, since it is smaller than the sum of its proper divisors (268253147520).

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

97285674240 is a wasteful number, since it uses less digits than its factorization.

97285674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165634 (or 165614 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 97285674240 in words is "ninety-seven billion, two hundred eighty-five million, six hundred seventy-four thousand, two hundred forty".