995743670400 has 384 divisors, whose sum is σ = 3835948680000. Its totient is φ = 251555880960.

The previous prime is 995743670387. The next prime is 995743670401. The reversal of 995743670400 is 4076347599.

It is a happy number.

995743670400 is a `hidden beast` number, since 9 + 9 + 574 + 3 + 67 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (995743670401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338316 + ... + 1944884.

Almost surely, 2^995743670400 is an apocalyptic number.

995743670400 is a gapful number since it is divisible by the number (90) 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 995743670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917974340000).

995743670400 is an abundant number, since it is smaller than the sum of its proper divisors (2840205009600).

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

995743670400 is a wasteful number, since it uses less digits than its factorization.

995743670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606621 (or 606598 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 995743670400 in words is "nine hundred ninety-five billion, seven hundred forty-three million, six hundred seventy thousand, four hundred".