96637669539840 has 4352 divisors, whose sum is σ = 436819000504320. Its totient is φ = 20180474265600.

The previous prime is 96637669539821. The next prime is 96637669539841. The reversal of 96637669539840 is 4893596673669.

96637669539840 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 76 + 6 + 9 + 539 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 96637669539840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96637669539841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2357016330220 + ... + 2357016330260.

Almost surely, 2^{96637669539840} is an apocalyptic number.

96637669539840 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 96637669539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218409500252160).

96637669539840 is an abundant number, since it is smaller than the sum of its proper divisors (340181330964480).

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

96637669539840 is an equidigital number, since it uses as much as digits as its factorization.

96637669539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 9523422720, while the sum is 81.

The spelling of 96637669539840 in words is "ninety-six trillion, six hundred thirty-seven billion, six hundred sixty-nine million, five hundred thirty-nine thousand, eight hundred forty".