1503672768 has 336 divisors, whose sum is σ = 5057241600. Its totient is φ = 436700160.

The previous prime is 1503672733. The next prime is 1503672773. The reversal of 1503672768 is 8672763051.

1503672768 is a `hidden beast` number, since 1 + 503 + 6 + 72 + 76 + 8 = 666.

It is a super-2 number, since 2×1503672768² = 4522063586449563648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5548473 + ... + 5548743.

Almost surely, 2^1503672768 is an apocalyptic number.

1503672768 is a gapful number since it is divisible by the number (18) 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 1503672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528620800).

1503672768 is an abundant number, since it is smaller than the sum of its proper divisors (3553568832).

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

1503672768 is a wasteful number, since it uses less digits than its factorization.

1503672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1503672768 is about 38777.2197043574. The cubic root of 1503672768 is about 1145.6477632417.

The spelling of 1503672768 in words is "one billion, five hundred three million, six hundred seventy-two thousand, seven hundred sixty-eight".