97024469760 has 360 divisors, whose sum is σ = 365450888880. Its totient is φ = 24510947328.

The previous prime is 97024469719. The next prime is 97024469771. The reversal of 97024469760 is 6796442079.

It is a happy number.

97024469760 is a `hidden beast` number, since 97 + 0 + 24 + 469 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 97024469697 and 97024469706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1945294 + ... + 1994546.

It is an arithmetic number, because the mean of its divisors is an integer number (1015141358).

Almost surely, 2^97024469760 is an apocalyptic number.

97024469760 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 97024469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182725444440).

97024469760 is an abundant number, since it is smaller than the sum of its proper divisors (268426419120).

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

97024469760 is a wasteful number, since it uses less digits than its factorization.

97024469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49305 (or 49282 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 97024469760 in words is "ninety-seven billion, twenty-four million, four hundred sixty-nine thousand, seven hundred sixty".