46797834240 has 336 divisors, whose sum is σ = 168380912700. Its totient is φ = 12477431808.

The previous prime is 46797834227. The next prime is 46797834241. The reversal of 46797834240 is 4243879764.

It can be written as a sum of positive squares in 2 ways, for example, as 45542974464 + 1254859776 = 213408^2 + 35424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46797834241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7461826 + ... + 7468094.

Almost surely, 2^46797834240 is an apocalyptic number.

46797834240 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 46797834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84190456350).

46797834240 is an abundant number, since it is smaller than the sum of its proper divisors (121583078460).

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

46797834240 is an frugal number, since it uses more digits than its factorization.

46797834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 46797834240 in words is "forty-six billion, seven hundred ninety-seven million, eight hundred thirty-four thousand, two hundred forty".