46780802640 has 1280 divisors, whose sum is σ = 205186867200. Its totient is φ = 9621504000.

The previous prime is 46780802639. The next prime is 46780802647. The reversal of 46780802640 is 4620808764.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (46780802647) 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, 309806565 + ... + 309806715.

It is an arithmetic number, because the mean of its divisors is an integer number (160302240).

Almost surely, 2^46780802640 is an apocalyptic number.

46780802640 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 46780802640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102593433600).

46780802640 is an abundant number, since it is smaller than the sum of its proper divisors (158406064560).

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

46780802640 is a wasteful number, since it uses less digits than its factorization.

46780802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 46780802640 in words is "forty-six billion, seven hundred eighty million, eight hundred two thousand, six hundred forty".