46778264640 has 280 divisors, whose sum is σ = 167261435352. Its totient is φ = 12409528320.

The previous prime is 46778264629. The next prime is 46778264653. The reversal of 46778264640 is 4646287764.

46778264640 is a `hidden beast` number, since 467 + 7 + 82 + 64 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13122160704 + 33656103936 = 114552^2 + 183456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5101660 + ... + 5110820.

Almost surely, 2^46778264640 is an apocalyptic number.

46778264640 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 46778264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83630717676).

46778264640 is an abundant number, since it is smaller than the sum of its proper divisors (120483170712).

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

46778264640 is a wasteful number, since it uses less digits than its factorization.

46778264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9368 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 46778264640 in words is "forty-six billion, seven hundred seventy-eight million, two hundred sixty-four thousand, six hundred forty".