46983290760 has 256 divisors, whose sum is σ = 179150400000. Its totient is φ = 10729055232.

The previous prime is 46983290759. The next prime is 46983290789. The reversal of 46983290760 is 6709238964.

It is a happy number.

46983290760 is a `hidden beast` number, since 469 + 8 + 32 + 90 + 7 + 60 = 666.

It is a super-2 number, since 2×46983290760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46983290697 and 46983290706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10801066 + ... + 10805414.

It is an arithmetic number, because the mean of its divisors is an integer number (699806250).

Almost surely, 2^46983290760 is an apocalyptic number.

46983290760 is a gapful number since it is divisible by the number (40) 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 46983290760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89575200000).

46983290760 is an abundant number, since it is smaller than the sum of its proper divisors (132167109240).

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

46983290760 is a wasteful number, since it uses less digits than its factorization.

46983290760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 46983290760 in words is "forty-six billion, nine hundred eighty-three million, two hundred ninety thousand, seven hundred sixty".