1735430480772 has 48 divisors (see below), whose sum is σ = 4361699069952. Its totient is φ = 535476443040.

The previous prime is 1735430480767. The next prime is 1735430480779. The reversal of 1735430480772 is 2770840345371.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1735430480779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101407438 + ... + 101424549.

It is an arithmetic number, because the mean of its divisors is an integer number (90868730624).

Almost surely, 2^{1735430480772} is an apocalyptic number.

1735430480772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1735430480772 is an abundant number, since it is smaller than the sum of its proper divisors (2626268589180).

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

1735430480772 is a wasteful number, since it uses less digits than its factorization.

1735430480772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202832048 (or 202832046 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 1735430480772 in words is "one trillion, seven hundred thirty-five billion, four hundred thirty million, four hundred eighty thousand, seven hundred seventy-two".