61506375840 has 1536 divisors, whose sum is σ = 281788416000. Its totient is φ = 12436623360.

The previous prime is 61506375817. The next prime is 61506375841. The reversal of 61506375840 is 4857360516.

61506375840 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 63 + 7 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506375841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 597149229 + ... + 597149331.

It is an arithmetic number, because the mean of its divisors is an integer number (183456000).

Almost surely, 2^61506375840 is an apocalyptic number.

61506375840 is a gapful number since it is divisible by the number (60) 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 61506375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208000).

61506375840 is an abundant number, since it is smaller than the sum of its proper divisors (220282040160).

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

61506375840 is a wasteful number, since it uses less digits than its factorization.

61506375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 61506375840 in words is "sixty-one billion, five hundred six million, three hundred seventy-five thousand, eight hundred forty".