999972617364 has 432 divisors, whose sum is σ = 3174742771200. Its totient is φ = 263740240512.

The previous prime is 999972617363. The next prime is 999972617381. The reversal of 999972617364 is 463716279999.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 999972617292 and 999972617301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999972617363) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1191862057 + ... + 1191862895.

It is an arithmetic number, because the mean of its divisors is an integer number (7348941600).

Almost surely, 2^999972617364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999972617364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587371385600).

999972617364 is an abundant number, since it is smaller than the sum of its proper divisors (2174770153836).

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

999972617364 is a wasteful number, since it uses less digits than its factorization.

999972617364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 999972617364 in words is "nine hundred ninety-nine billion, nine hundred seventy-two million, six hundred seventeen thousand, three hundred sixty-four".