1507693680 has 180 divisors, whose sum is σ = 5234341320. Its totient is φ = 388903680.

The previous prime is 1507693679. The next prime is 1507693753. The reversal of 1507693680 is 863967051.

It is a happy number.

1507693680 is a `hidden beast` number, since 1 + 507 + 69 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 690831 + ... + 693009.

It is an arithmetic number, because the mean of its divisors is an integer number (29079674).

Almost surely, 2^1507693680 is an apocalyptic number.

1507693680 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 1507693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617170660).

1507693680 is an abundant number, since it is smaller than the sum of its proper divisors (3726647640).

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

1507693680 is a wasteful number, since it uses less digits than its factorization.

1507693680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1507693680 is about 38829.0314069254. The cubic root of 1507693680 is about 1146.6680315169.

It can be divided in two parts, 150769 and 3680, that added together give a square (154449 = 393²).

The spelling of 1507693680 in words is "one billion, five hundred seven million, six hundred ninety-three thousand, six hundred eighty".