97776375840 has 1728 divisors, whose sum is σ = 437952033792. Its totient is φ = 19552665600.

The previous prime is 97776375833. The next prime is 97776375847. The reversal of 97776375840 is 4857367779.

It is an interprime number because it is at equal distance from previous prime (97776375833) and next prime (97776375847).

It is not an unprimeable number, because it can be changed into a prime (97776375847) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1844837254 + ... + 1844837306.

It is an arithmetic number, because the mean of its divisors is an integer number (253444464).

Almost surely, 2^97776375840 is an apocalyptic number.

97776375840 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 97776375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218976016896).

97776375840 is an abundant number, since it is smaller than the sum of its proper divisors (340175657952).

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

97776375840 is a wasteful number, since it uses less digits than its factorization.

97776375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 97776375840 in words is "ninety-seven billion, seven hundred seventy-six million, three hundred seventy-five thousand, eight hundred forty".