1351680000 has 340 divisors, whose sum is σ = 4913589648. Its totient is φ = 327680000.

The previous prime is 1351679993. The next prime is 1351680061. The reversal of 1351680000 is 861531.

1351680000 = T₅₁₇₆ + T₅₁₇₇ + ... + T₅₂₇₄.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122879995 + ... + 122880005.

Almost surely, 2^1351680000 is an apocalyptic number.

1351680000 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 1351680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456794824).

1351680000 is an abundant number, since it is smaller than the sum of its proper divisors (3561909648).

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

1351680000 is an frugal number, since it uses more digits than its factorization.

1351680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1351680000 is about 36765.2009378434. The cubic root of 1351680000 is about 1105.6677168018.

The spelling of 1351680000 in words is "one billion, three hundred fifty-one million, six hundred eighty thousand".