4627953792000 has 5280 divisors, whose sum is σ = 23680557508608. Its totient is φ = 875888640000.

The previous prime is 4627953791987. The next prime is 4627953792013. The reversal of 4627953792000 is 2973597264.

4627953792000 is a `hidden beast` number, since 4 + 62 + 7 + 9 + 5 + 379 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4627953791987) and next prime (4627953792013).

It is a tau number, because it is divible by the number of its divisors (5280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 149288831985 + ... + 149288832015.

Almost surely, 2^{4627953792000} is an apocalyptic number.

4627953792000 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 4627953792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11840278754304).

4627953792000 is an abundant number, since it is smaller than the sum of its proper divisors (19052603716608).

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

4627953792000 is a wasteful number, since it uses less digits than its factorization.

4627953792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

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

The spelling of 4627953792000 in words is "four trillion, six hundred twenty-seven billion, nine hundred fifty-three million, seven hundred ninety-two thousand".