87400346040 has 384 divisors, whose sum is σ = 330244387200. Its totient is φ = 19634503680.

The previous prime is 87400346029. The next prime is 87400346083. The reversal of 87400346040 is 4064300478.

87400346040 is a `hidden beast` number, since 8 + 7 + 40 + 0 + 3 + 4 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87400345986 and 87400346004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40593604 + ... + 40595756.

It is an arithmetic number, because the mean of its divisors is an integer number (860011425).

Almost surely, 2^87400346040 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 87400346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165122193600).

87400346040 is an abundant number, since it is smaller than the sum of its proper divisors (242844041160).

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

87400346040 is a wasteful number, since it uses less digits than its factorization.

87400346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 87400346040 in words is "eighty-seven billion, four hundred million, three hundred forty-six thousand, forty".