1357735680 has 432 divisors, whose sum is σ = 5452574400. Its totient is φ = 305528832.

The previous prime is 1357735679. The next prime is 1357735711. The reversal of 1357735680 is 865377531.

1357735680 is a `hidden beast` number, since 13 + 5 + 7 + 73 + 568 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9112246 + ... + 9112394.

It is an arithmetic number, because the mean of its divisors is an integer number (12621700).

Almost surely, 2^1357735680 is an apocalyptic number.

1357735680 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 1357735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726287200).

1357735680 is an abundant number, since it is smaller than the sum of its proper divisors (4094838720).

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

1357735680 is a wasteful number, since it uses less digits than its factorization.

1357735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1357735680 is about 36847.4650417095. The cubic root of 1357735680 is about 1107.3164294460.

The spelling of 1357735680 in words is "one billion, three hundred fifty-seven million, seven hundred thirty-five thousand, six hundred eighty".