67245615360 has 1296 divisors, whose sum is σ = 304219214208. Its totient is φ = 13315276800.

The previous prime is 67245615341. The next prime is 67245615377. The reversal of 67245615360 is 6351654276.

67245615360 is a `hidden beast` number, since 6 + 7 + 24 + 5 + 615 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1563851499 + ... + 1563851541.

It is an arithmetic number, because the mean of its divisors is an integer number (234737048).

Almost surely, 2^67245615360 is an apocalyptic number.

67245615360 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 67245615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152109607104).

67245615360 is an abundant number, since it is smaller than the sum of its proper divisors (236973598848).

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

67245615360 is a wasteful number, since it uses less digits than its factorization.

67245615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 67245615360 in words is "sixty-seven billion, two hundred forty-five million, six hundred fifteen thousand, three hundred sixty".