68701651200 has 1728 divisors, whose sum is σ = 329573905920. Its totient is φ = 13589544960.

The previous prime is 68701651129. The next prime is 68701651243. The reversal of 68701651200 is 215610786.

68701651200 is a `hidden beast` number, since 68 + 70 + 16 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×68701651200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267321472 + ... + 267321728.

It is an arithmetic number, because the mean of its divisors is an integer number (190725640).

Almost surely, 2^68701651200 is an apocalyptic number.

68701651200 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 68701651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164786952960).

68701651200 is an abundant number, since it is smaller than the sum of its proper divisors (260872254720).

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

68701651200 is a wasteful number, since it uses less digits than its factorization.

68701651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 68701651200 in words is "sixty-eight billion, seven hundred one million, six hundred fifty-one thousand, two hundred".