716820299661312 has 1920 divisors, whose sum is σ = 2718087764582400. Its totient is φ = 183584984924160.

The previous prime is 716820299661307. The next prime is 716820299661329. The reversal of 716820299661312 is 213166992028617.

716820299661312 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 2 + 0 + 2 + 9 + 9 + 6 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×716820299661312² (a number of 31 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 716820299661312.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201410590989 + ... + 201410594547.

It is an arithmetic number, because the mean of its divisors is an integer number (1415670710720).

Almost surely, 2^{716820299661312} is an apocalyptic number.

716820299661312 is a gapful number since it is divisible by the number (72) 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 716820299661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359043882291200).

716820299661312 is an abundant number, since it is smaller than the sum of its proper divisors (2001267464921088).

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

716820299661312 is an frugal number, since it uses more digits than its factorization.

716820299661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 716820299661312 in words is "seven hundred sixteen trillion, eight hundred twenty billion, two hundred ninety-nine million, six hundred sixty-one thousand, three hundred twelve".