6995538950400 has 6480 divisors, whose sum is σ = 37579801488768. Its totient is φ = 1242169344000.

The previous prime is 6995538950357. The next prime is 6995538950419. The reversal of 6995538950400 is 40598355996.

6995538950400 is a `hidden beast` number, since 6 + 9 + 9 + 5 + 538 + 9 + 50 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is an unprimeable number.

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 719 ways as a sum of consecutive naturals, for example, 114680966370 + ... + 114680966430.

Almost surely, 2^{6995538950400} is an apocalyptic number.

6995538950400 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 6995538950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789900744384).

6995538950400 is an abundant number, since it is smaller than the sum of its proper divisors (30584262538368).

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

6995538950400 is a wasteful number, since it uses less digits than its factorization.

6995538950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 6995538950400 in words is "six trillion, nine hundred ninety-five billion, five hundred thirty-eight million, nine hundred fifty thousand, four hundred".