97508746720 has 192 divisors, whose sum is σ = 287444505600. Its totient is φ = 30367272960.

The previous prime is 97508746717. The next prime is 97508746729. The reversal of 97508746720 is 2764780579.

It is a super-2 number, since 2×97508746720² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97508746729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19820421 + ... + 19825339.

It is an arithmetic number, because the mean of its divisors is an integer number (1497106800).

Almost surely, 2^97508746720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97508746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143722252800).

97508746720 is an abundant number, since it is smaller than the sum of its proper divisors (189935758880).

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

97508746720 is a wasteful number, since it uses less digits than its factorization.

97508746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 97508746720 in words is "ninety-seven billion, five hundred eight million, seven hundred forty-six thousand, seven hundred twenty".