46751961600 has 360 divisors, whose sum is σ = 170080751412. Its totient is φ = 12260966400.

The previous prime is 46751961587. The next prime is 46751961623. The reversal of 46751961600 is 616915764.

It can be written as a sum of positive squares in 6 ways, for example, as 33732864 + 46718228736 = 5808^2 + 216144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7023874 + ... + 7030526.

Almost surely, 2^46751961600 is an apocalyptic number.

46751961600 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 46751961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85040375706).

46751961600 is an abundant number, since it is smaller than the sum of its proper divisors (123328789812).

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

46751961600 is a wasteful number, since it uses less digits than its factorization.

46751961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 46751961600 in words is "forty-six billion, seven hundred fifty-one million, nine hundred sixty-one thousand, six hundred".