87702746040 has 1152 divisors, whose sum is σ = 375854169600. Its totient is φ = 17662095360.

The previous prime is 87702746011. The next prime is 87702746051. The reversal of 87702746040 is 4064720778.

87702746040 is a `hidden beast` number, since 87 + 70 + 2 + 7 + 460 + 40 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1201407444 + ... + 1201407516.

It is an arithmetic number, because the mean of its divisors is an integer number (326262300).

Almost surely, 2^87702746040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87702746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187927084800).

87702746040 is an abundant number, since it is smaller than the sum of its proper divisors (288151423560).

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

87702746040 is a wasteful number, since it uses less digits than its factorization.

87702746040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 87702746040 in words is "eighty-seven billion, seven hundred two million, seven hundred forty-six thousand, forty".