6995619540000 has 1920 divisors, whose sum is σ = 32469256512000. Its totient is φ = 1424812032000.

The previous prime is 6995619539941. The next prime is 6995619540037. The reversal of 6995619540000 is 459165996.

6995619540000 is a `hidden beast` number, since 6 + 9 + 95 + 6 + 1 + 9 + 540 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1425057546 + ... + 1425062454.

It is an arithmetic number, because the mean of its divisors is an integer number (16911071100).

Almost surely, 2^{6995619540000} is an apocalyptic number.

6995619540000 is a gapful number since it is divisible by the number (60) 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 6995619540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234628256000).

6995619540000 is an abundant number, since it is smaller than the sum of its proper divisors (25473636972000).

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

6995619540000 is a wasteful number, since it uses less digits than its factorization.

6995619540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 6995619540000 in words is "six trillion, nine hundred ninety-five billion, six hundred nineteen million, five hundred forty thousand".