1468767928320 has 1824 divisors, whose sum is σ = 6694096416000. Its totient is φ = 305198530560.

The previous prime is 1468767928319. The next prime is 1468767928337. The reversal of 1468767928320 is 238297678641.

1468767928320 is a `hidden beast` number, since 1 + 468 + 7 + 6 + 7 + 92 + 83 + 2 + 0 = 666.

It is a super-2 number, since 2×1468767928320² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133524357115 + ... + 133524357125.

It is an arithmetic number, because the mean of its divisors is an integer number (3670009000).

Almost surely, 2^{1468767928320} is an apocalyptic number.

1468767928320 is a gapful number since it is divisible by the number (10) 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 1468767928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347048208000).

1468767928320 is an abundant number, since it is smaller than the sum of its proper divisors (5225328487680).

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

1468767928320 is an frugal number, since it uses more digits than its factorization.

1468767928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 1468767928320 in words is "one trillion, four hundred sixty-eight billion, seven hundred sixty-seven million, nine hundred twenty-eight thousand, three hundred twenty".