15761940480 has 1008 divisors, whose sum is σ = 67349071296. Its totient is φ = 3373793280.

The previous prime is 15761940479. The next prime is 15761940497. The reversal of 15761940480 is 8404916751.

15761940480 is a `hidden beast` number, since 15 + 76 + 1 + 94 + 0 + 480 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 685301749 + ... + 685301771.

Almost surely, 2^15761940480 is an apocalyptic number.

15761940480 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 15761940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33674535648).

15761940480 is an abundant number, since it is smaller than the sum of its proper divisors (51587130816).

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

15761940480 is a wasteful number, since it uses less digits than its factorization.

15761940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 15761940480 in words is "fifteen billion, seven hundred sixty-one million, nine hundred forty thousand, four hundred eighty".