8742651840 has 448 divisors, whose sum is σ = 33453141120. Its totient is φ = 2136637440.

The previous prime is 8742651833. The next prime is 8742651871. The reversal of 8742651840 is 481562478.

8742651840 is a `hidden beast` number, since 8 + 74 + 26 + 518 + 40 = 666.

It is a super-2 number, since 2×8742651840² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 31112500 + ... + 31112780.

It is an arithmetic number, because the mean of its divisors is an integer number (74672190).

Almost surely, 2^8742651840 is an apocalyptic number.

8742651840 is a gapful number since it is divisible by the number (80) 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 8742651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726570560).

8742651840 is an abundant number, since it is smaller than the sum of its proper divisors (24710489280).

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

8742651840 is a wasteful number, since it uses less digits than its factorization.

8742651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8742651840 is about 93502.1488523125. The cubic root of 8742651840 is about 2060.0656528547.

The spelling of 8742651840 in words is "eight billion, seven hundred forty-two million, six hundred fifty-one thousand, eight hundred forty".