69900768950400 has 432 divisors, whose sum is σ = 254841956456490. Its totient is φ = 18243588341760.

The previous prime is 69900768950381. The next prime is 69900768950413. The reversal of 69900768950400 is 405986700996.

It is a happy number.

69900768950400 is a `hidden beast` number, since 69 + 9 + 0 + 0 + 7 + 68 + 9 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 58472204410944 + 11428564539456 = 7646712^2 + 3380616^2 .

It is a super-2 number, since 2×69900768950400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 63069832 + ... + 64168568.

Almost surely, 2^{69900768950400} is an apocalyptic number.

69900768950400 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 69900768950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127420978228245).

69900768950400 is an abundant number, since it is smaller than the sum of its proper divisors (184941187506090).

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

69900768950400 is a wasteful number, since it uses less digits than its factorization.

69900768950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098861 (or 1098794 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 69900768950400 in words is "sixty-nine trillion, nine hundred billion, seven hundred sixty-eight million, nine hundred fifty thousand, four hundred".