1073401778064 has 960 divisors, whose sum is σ = 3774298429440. Its totient is φ = 260220764160.

The previous prime is 1073401778047. The next prime is 1073401778081. The reversal of 1073401778064 is 4608771043701.

It is an interprime number because it is at equal distance from previous prime (1073401778047) and next prime (1073401778081).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11065997664 + ... + 11065997760.

It is an arithmetic number, because the mean of its divisors is an integer number (3931560864).

Almost surely, 2^{1073401778064} is an apocalyptic number.

1073401778064 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 1073401778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887149214720).

1073401778064 is an abundant number, since it is smaller than the sum of its proper divisors (2700896651376).

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

1073401778064 is an equidigital number, since it uses as much as digits as its factorization.

1073401778064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1073401778064 in words is "one trillion, seventy-three billion, four hundred one million, seven hundred seventy-eight thousand, sixty-four".