1354747680 has 960 divisors, whose sum is σ = 6085715328. Its totient is φ = 278691840.

The previous prime is 1354747661. The next prime is 1354747721. The reversal of 1354747680 is 867474531.

1354747680 is a `hidden beast` number, since 1 + 3 + 547 + 47 + 68 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31505739 + ... + 31505781.

Almost surely, 2^1354747680 is an apocalyptic number.

1354747680 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 1354747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042857664).

1354747680 is an abundant number, since it is smaller than the sum of its proper divisors (4730967648).

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

1354747680 is a wasteful number, since it uses less digits than its factorization.

1354747680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1354747680 is about 36806.8971797406. The cubic root of 1354747680 is about 1106.5035339611.

The spelling of 1354747680 in words is "one billion, three hundred fifty-four million, seven hundred forty-seven thousand, six hundred eighty".