6150153984 has 216 divisors, whose sum is σ = 18242871696. Its totient is φ = 1828454400.

The previous prime is 6150153983. The next prime is 6150154007. The reversal of 6150153984 is 4893510516.

It is a super-2 number, since 2×6150153984² = 75648788053822144512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6150153983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594304 + ... + 9594944.

Almost surely, 2^6150153984 is an apocalyptic number.

6150153984 is a gapful number since it is divisible by the number (64) 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 6150153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121435848).

6150153984 is an abundant number, since it is smaller than the sum of its proper divisors (12092717712).

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

6150153984 is a wasteful number, since it uses less digits than its factorization.

6150153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 6150153984 is about 78422.9174667712. The cubic root of 6150153984 is about 1832.1540903806.

The spelling of 6150153984 in words is "six billion, one hundred fifty million, one hundred fifty-three thousand, nine hundred eighty-four".