97029414720 has 672 divisors, whose sum is σ = 397675339776. Its totient is φ = 21247488000.

The previous prime is 97029414707. The next prime is 97029414721. The reversal of 97029414720 is 2741492079.

It is a happy number.

97029414720 is a `hidden beast` number, since 97 + 0 + 2 + 94 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97029414721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66869995 + ... + 66871445.

Almost surely, 2^97029414720 is an apocalyptic number.

97029414720 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 97029414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198837669888).

97029414720 is an abundant number, since it is smaller than the sum of its proper divisors (300645925056).

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

97029414720 is a wasteful number, since it uses less digits than its factorization.

97029414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 97029414720 in words is "ninety-seven billion, twenty-nine million, four hundred fourteen thousand, seven hundred twenty".