10216546704 has 480 divisors, whose sum is σ = 36397670400. Its totient is φ = 2604026880.

The previous prime is 10216546699. The next prime is 10216546727. The reversal of 10216546704 is 40764561201.

10216546704 is a `hidden beast` number, since 102 + 1 + 6 + 546 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73500267 + ... + 73500405.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^10216546704 is an apocalyptic number.

10216546704 is a gapful number since it is divisible by the number (14) 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 10216546704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198835200).

10216546704 is an abundant number, since it is smaller than the sum of its proper divisors (26181123696).

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

10216546704 is a wasteful number, since it uses less digits than its factorization.

10216546704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10216546704 in words is "ten billion, two hundred sixteen million, five hundred forty-six thousand, seven hundred four".