69965406720 has 640 divisors, whose sum is σ = 287116980480. Its totient is φ = 15960637440.

The previous prime is 69965406697. The next prime is 69965406793. The reversal of 69965406720 is 2760456996.

69965406720 is a `hidden beast` number, since 6 + 9 + 96 + 540 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×69965406720³ (a number of 34 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 12922734 + ... + 12928146.

It is an arithmetic number, because the mean of its divisors is an integer number (448620282).

Almost surely, 2^69965406720 is an apocalyptic number.

69965406720 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 69965406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143558490240).

69965406720 is an abundant number, since it is smaller than the sum of its proper divisors (217151573760).

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

69965406720 is a wasteful number, since it uses less digits than its factorization.

69965406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 69965406720 in words is "sixty-nine billion, nine hundred sixty-five million, four hundred six thousand, seven hundred twenty".