1470007680 has 256 divisors, whose sum is σ = 5135659200. Its totient is φ = 355991552.

The previous prime is 1470007667. The next prime is 1470007691. The reversal of 1470007680 is 867000741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945784 + ... + 947336.

Almost surely, 2^1470007680 is an apocalyptic number.

1470007680 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 1470007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567829600).

1470007680 is an abundant number, since it is smaller than the sum of its proper divisors (3665651520).

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

1470007680 is a wasteful number, since it uses less digits than its factorization.

1470007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1470007680 is about 38340.6791802128. The cubic root of 1470007680 is about 1137.0333452734.

It can be divided in two parts, 147000 and 7680, that multiplied together give a square (1128960000 = 33600²).

The spelling of 1470007680 in words is "one billion, four hundred seventy million, seven thousand, six hundred eighty".