69873764400 has 480 divisors, whose sum is σ = 280074455040. Its totient is φ = 16391808000.

The previous prime is 69873764383. The next prime is 69873764407. The reversal of 69873764400 is 446737896.

It is a happy number.

69873764400 is a `hidden beast` number, since 69 + 8 + 73 + 76 + 440 + 0 = 666.

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 (69873764407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3673314 + ... + 3692286.

It is an arithmetic number, because the mean of its divisors is an integer number (583488448).

Almost surely, 2^69873764400 is an apocalyptic number.

69873764400 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 69873764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140037227520).

69873764400 is an abundant number, since it is smaller than the sum of its proper divisors (210200690640).

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

69873764400 is a wasteful number, since it uses less digits than its factorization.

69873764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 69873764400 in words is "sixty-nine billion, eight hundred seventy-three million, seven hundred sixty-four thousand, four hundred".