4737900625920 has 2160 divisors, whose sum is σ = 21472373430144. Its totient is φ = 980995276800.

The previous prime is 4737900625919. The next prime is 4737900625951. The reversal of 4737900625920 is 295260097374.

4737900625920 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 9 + 0 + 0 + 625 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×4737900625920³ (a number of 39 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 16860856180 + ... + 16860856460.

Almost surely, 2^{4737900625920} is an apocalyptic number.

4737900625920 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 4737900625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10736186715072).

4737900625920 is an abundant number, since it is smaller than the sum of its proper divisors (16734472804224).

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

4737900625920 is an equidigital number, since it uses as much as digits as its factorization.

4737900625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 4737900625920 in words is "four trillion, seven hundred thirty-seven billion, nine hundred million, six hundred twenty-five thousand, nine hundred twenty".