15724679040 has 640 divisors, whose sum is σ = 67979736000. Its totient is φ = 3381460992.

The previous prime is 15724679039. The next prime is 15724679081. The reversal of 15724679040 is 4097642751.

15724679040 is a `hidden beast` number, since 1 + 572 + 4 + 6 + 79 + 0 + 4 + 0 = 666.

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

It is a super-3 number, since 3×15724679040³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 6167686 + ... + 6170234.

Almost surely, 2^15724679040 is an apocalyptic number.

15724679040 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 15724679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33989868000).

15724679040 is an abundant number, since it is smaller than the sum of its proper divisors (52255056960).

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

15724679040 is a wasteful number, since it uses less digits than its factorization.

15724679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2583 counting only the distinct ones).

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

The spelling of 15724679040 in words is "fifteen billion, seven hundred twenty-four million, six hundred seventy-nine thousand, forty".