46277480640 has 448 divisors, whose sum is σ = 158391636480. Its totient is φ = 11426365440.

The previous prime is 46277480629. The next prime is 46277480647. The reversal of 46277480640 is 4608477264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46277480640.

It is not an unprimeable number, because it can be changed into a prime (46277480647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62621391 + ... + 62622129.

It is an arithmetic number, because the mean of its divisors is an integer number (353552760).

Almost surely, 2^46277480640 is an apocalyptic number.

46277480640 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 46277480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79195818240).

46277480640 is an abundant number, since it is smaller than the sum of its proper divisors (112114155840).

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

46277480640 is a wasteful number, since it uses less digits than its factorization.

46277480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 46277480640 in words is "forty-six billion, two hundred seventy-seven million, four hundred eighty thousand, six hundred forty".