84963629630880 has 2304 divisors, whose sum is σ = 409775796702720. Its totient is φ = 16296017633280.

The previous prime is 84963629630837. The next prime is 84963629630917. The reversal of 84963629630880 is 8803692636948.

84963629630880 is a `hidden beast` number, since 8 + 49 + 63 + 62 + 96 + 308 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84963629630799 and 84963629630808.

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, 3662687442 + ... + 3662710638.

It is an arithmetic number, because the mean of its divisors is an integer number (177854078430).

Almost surely, 2^{84963629630880} is an apocalyptic number.

84963629630880 is a gapful number since it is divisible by the number (80) 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 84963629630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204887898351360).

84963629630880 is an abundant number, since it is smaller than the sum of its proper divisors (324812167071840).

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

84963629630880 is a wasteful number, since it uses less digits than its factorization.

84963629630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23281 (or 23238 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 84963629630880 in words is "eighty-four trillion, nine hundred sixty-three billion, six hundred twenty-nine million, six hundred thirty thousand, eight hundred eighty".