96702338557440 has 3840 divisors, whose sum is σ = 463486354974720. Its totient is φ = 18652924477440.

The previous prime is 96702338557417. The next prime is 96702338557469. The reversal of 96702338557440 is 4475583320769.

It is a happy number.

96702338557440 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 2 + 3 + 38 + 557 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1324689569244 + ... + 1324689569316.

It is an arithmetic number, because the mean of its divisors is an integer number (120699571608).

Almost surely, 2^{96702338557440} is an apocalyptic number.

96702338557440 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 96702338557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231743177487360).

96702338557440 is an abundant number, since it is smaller than the sum of its proper divisors (366784016417280).

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

96702338557440 is an frugal number, since it uses more digits than its factorization.

96702338557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 96702338557440 in words is "ninety-six trillion, seven hundred two billion, three hundred thirty-eight million, five hundred fifty-seven thousand, four hundred forty".