829478721576960 has 6720 divisors, whose sum is σ = 3970141407936000. Its totient is φ = 165069399785472.

The previous prime is 829478721576943. The next prime is 829478721576977. The reversal of 829478721576960 is 69675127874928.

829478721576960 is a `hidden beast` number, since 8 + 2 + 9 + 478 + 7 + 2 + 1 + 57 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (829478721576943) and next prime (829478721576977).

It is a tau number, because it is divible by the number of its divisors (6720).

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 829478721576960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3654091284367 + ... + 3654091284593.

Almost surely, 2^{829478721576960} is an apocalyptic number.

829478721576960 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 829478721576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985070703968000).

829478721576960 is an abundant number, since it is smaller than the sum of its proper divisors (3140662686359040).

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

829478721576960 is a wasteful number, since it uses less digits than its factorization.

829478721576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 829478721576960 in words is "eight hundred twenty-nine trillion, four hundred seventy-eight billion, seven hundred twenty-one million, five hundred seventy-six thousand, nine hundred sixty".