15761840640 has 640 divisors, whose sum is σ = 65335818240. Its totient is φ = 3147890688.

The previous prime is 15761840603. The next prime is 15761840669. The reversal of 15761840640 is 4604816751.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 15761840592 and 15761840601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13278127 + ... + 13279313.

It is an arithmetic number, because the mean of its divisors is an integer number (102087216).

Almost surely, 2^15761840640 is an apocalyptic number.

15761840640 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 15761840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32667909120).

15761840640 is an abundant number, since it is smaller than the sum of its proper divisors (49573977600).

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

15761840640 is a wasteful number, since it uses less digits than its factorization.

15761840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 15761840640 in words is "fifteen billion, seven hundred sixty-one million, eight hundred forty thousand, six hundred forty".