68306245539840 has 3072 divisors, whose sum is σ = 329255423078400. Its totient is φ = 12995002368000.

The previous prime is 68306245539817. The next prime is 68306245539863. The reversal of 68306245539840 is 4893554260386.

68306245539840 is a `hidden beast` number, since 6 + 8 + 30 + 6 + 2 + 4 + 553 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (68306245539817) and next prime (68306245539863).

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13390753290 + ... + 13390758390.

It is an arithmetic number, because the mean of its divisors is an integer number (107179499700).

Almost surely, 2^{68306245539840} is an apocalyptic number.

68306245539840 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 68306245539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164627711539200).

68306245539840 is an abundant number, since it is smaller than the sum of its proper divisors (260949177538560).

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

68306245539840 is a wasteful number, since it uses less digits than its factorization.

68306245539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 68306245539840 in words is "sixty-eight trillion, three hundred six billion, two hundred forty-five million, five hundred thirty-nine thousand, eight hundred forty".