97707381408 has 1080 divisors, whose sum is σ = 387728069652. Its totient is φ = 23842086912.

The previous prime is 97707381407. The next prime is 97707381503. The reversal of 97707381408 is 80418370779.

97707381408 is a `hidden beast` number, since 97 + 7 + 0 + 73 + 81 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97486323984 + 221057424 = 312228^2 + 14868^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97707381407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1656057283 + ... + 1656057341.

Almost surely, 2^97707381408 is an apocalyptic number.

97707381408 is a gapful number since it is divisible by the number (98) 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 97707381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193864034826).

97707381408 is an abundant number, since it is smaller than the sum of its proper divisors (290020688244).

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

97707381408 is a wasteful number, since it uses less digits than its factorization.

97707381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 97707381408 in words is "ninety-seven billion, seven hundred seven million, three hundred eighty-one thousand, four hundred eight".