97701791040 has 336 divisors, whose sum is σ = 390575352960. Its totient is φ = 21953064960.

The previous prime is 97701791003. The next prime is 97701791041. The reversal of 97701791040 is 4019710779.

It is a tau number, because it is divible by the number of its divisors (336).

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 (97701791041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148370 + ... + 1230510.

Almost surely, 2^97701791040 is an apocalyptic number.

97701791040 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 97701791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195287676480).

97701791040 is an abundant number, since it is smaller than the sum of its proper divisors (292873561920).

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

97701791040 is a wasteful number, since it uses less digits than its factorization.

97701791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82230 (or 82217 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 97701791040 in words is "ninety-seven billion, seven hundred one million, seven hundred ninety-one thousand, forty".