1950007614464 has 352 divisors, whose sum is σ = 4914774552576. Its totient is φ = 752706846720.

The previous prime is 1950007614461. The next prime is 1950007614469. The reversal of 1950007614464 is 4644167000591.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950007614461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369389157 + ... + 2369389979.

Almost surely, 2^{1950007614464} is an apocalyptic number.

1950007614464 is a gapful number since it is divisible by the number (14) 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 1950007614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457387276288).

1950007614464 is an abundant number, since it is smaller than the sum of its proper divisors (2964766938112).

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

1950007614464 is a wasteful number, since it uses less digits than its factorization.

1950007614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 1950007614464 in words is "one trillion, nine hundred fifty billion, seven million, six hundred fourteen thousand, four hundred sixty-four".