1468979064 has 160 divisors (see below), whose sum is σ = 4780274400. Its totient is φ = 412750080.

The previous prime is 1468979063. The next prime is 1468979081. The reversal of 1468979064 is 4609798641.

1468979064 is a `hidden beast` number, since 1 + 468 + 97 + 90 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1468979064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468979063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274042 + ... + 279350.

It is an arithmetic number, because the mean of its divisors is an integer number (29876715).

Almost surely, 2^1468979064 is an apocalyptic number.

1468979064 is a gapful number since it is divisible by the number (14) 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 1468979064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390137200).

1468979064 is an abundant number, since it is smaller than the sum of its proper divisors (3311295336).

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

1468979064 is a wasteful number, since it uses less digits than its factorization.

1468979064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1468979064 is about 38327.2626729330. The cubic root of 1468979064 is about 1136.7680760030.

It can be divided in two parts, 146897 and 9064, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 1468979064 in words is "one billion, four hundred sixty-eight million, nine hundred seventy-nine thousand, sixty-four".